Increasing Number Triangle Starting from 11 in C#

Beginner
⏱️ 9 min read
📚 Updated: Aug 2026
🎯 3 Code Examples
🚀 Live Preview
Formula + Loops
Increasing number triangle output starting from 11 (11, 12 13, 13 14 15, ...) in C# programming
Overview

What You’ll Learn

The increasing number triangle from 11 prints 11, 12 13, 13 14 15, … — a natural step after the number-star diamond in Program 31. This tutorial covers the 9 + i + j formula, nested loops, a live preview, worked C# examples, edge cases, and complexity.

Shape Rule

Left-shifted triangle

Row i prints i numbers computed as 9 + i + j.

Outer Loop

i = 1..rows

for (i = 1; i <= rows; i++) — one growing row per iteration.

Inner Loop (j)

1..i

for (j = 1; j <= i; j++) — prints i values per row.

Formula

9 + i + j

Base offset 9 shifts the triangle to start at 11.

Live Preview

3–9 rows

Pick a row count and draw the increasing triangle in the browser.

O(n²)

Complexity

Prints per row = i — total work scales as n².

Introduction

A left-shifted increasing number triangle prints values from the formula 9 + i + j on each row. With rows = 5, you get 11, 12 13, 13 14 15, and so on.

In C# you use nested loops: outer i = 1..rows, inner j = 1..i, printing (9 + i + j) with a trailing space.

Why it matters?

It combines nested loops with an arithmetic formula — a step up from Program 31’s modulus diamond.

Key Highlights

9 + i + j

Formula for each value.

Inner j <= i

Growing row width.

Starts at 11

When base = 9, i=1, j=1.

Series Foundation

Follow Program 31; continue to Program 33 (i + j - 1) next.

In short: outer loop i = 1..rows, inner j = 1..i, print 9 + i + j with a space, then WriteLine().

Foundation

📝 Problem & Approach

Given rows = 5, print a left-shifted increasing triangle: for each row i, print j = 1..i values of 9 + i + j separated by spaces.

C#
// rows = 5 (conceptual shape)
// 11
// 12 13
// 13 14 15
// 14 15 16 17
// 15 16 17 18 19

Inputs & Outputs

ItemTypeDescription
rowsintTriangle height — number of lines to print.
iintOuter loop — current row; also part of the formula.
jintInner loop — column index; runs 1..i per row.
baseintOffset in the formula (default 9); first value = base + 2.

Minimal workflow

Pseudocode
for i from 1 to rows:
    for j from 1 to i:
        print (9 + i + j) + space
    print newline

Approach comparison

ApproachIdeaBest for
Fixed formula11, 12 13, …Learning and interviews
Custom base(baseVal + i + j)Flexible starting number
User-input rowsint rows = Convert.ToInt32(...)Configurable triangle size
Cheat Sheet

⚡ Quick Reference

GoalPattern
Outer loopfor (i = 1; i <= rows; i++)
Inner loopfor (j = 1; j <= i; j++)
Print valueConsole.Write((9 + i + j) + " ");
End the rowConsole.WriteLine();
Custom baseConsole.Write((baseVal + i + j) + " ");
User inputint rows = Convert.ToInt32(Console.ReadLine());
Compare

📋 Fixed vs User Input vs Compact Demo

Same increasing triangle — different ways to control rows and the base offset.

Outer loop
i = 1..rows

One growing row per iteration

Formula
9 + i + j

Starts at 11

Inner loop
j = 1..i

i values per row

Learning tip
base + 2

First printed number

Context

When This Pattern Shows Up

Reach for this pattern when teaching formula-based output, growing inner loops, and arithmetic in nested loops.

  1. Post diamond exercise

    Natural follow-up after Program 31 — introduces an arithmetic formula instead of modulus.

  2. Nested-loop warm-up

    Outer/inner bound practice with an immediate visual check.

  3. Console I/O practice

    Combine loops with ReadLine for a flexible row count.

  4. Gateway to variants

    Compare Program 31 (number-star diamond) and Program 33 (i + j - 1) next.

  5. Not a UI layout tool

    This is a console teaching pattern — not how you build modern app screens.

Key benefit: one small program that locks in nested loops, output sequencing, and O(n²) thinking.

Interactive

🔮 Live Preview

Choose a row count between 3 and 9 and draw the increasing triangle in the browser.

Try 4, 5, or 7. Max up to 9 in this preview.

Live result
Press "Draw pattern".
Hands-On

Examples Gallery

Three complete C# programs — fixed rows, user input, and a smaller trace demo. Click View Output to reveal sample console results.

📚 Getting Started

Print five rows of the increasing triangle with the 9 + i + j formula.

Example 1 — Fixed rows = 5

Hard-coded row count — ideal for first demos and screenshots.

C#
using System;

namespace MyApp
{
    class Program
    {
        static void Main(string[] args)
        {
            int i, j;

            for (i = 1; i <= 5; i++)
            {
                for (j = 1; j <= i; j++)
                    Console.Write((9 + i + j) + " ");
                Console.WriteLine();
            }
        }
    }
}

How It Works

When i = 1, the inner loop prints 9+1+1 = 11. When i = 3, it prints 13, 14, 15 — output 13 14 15.

📈 User Input

Read the row count from the console instead of hard-coding 5.

Example 2 — Custom base and rows

Read rows and baseVal from the console instead of hard-coding 5 and 9.

C#
using System;

namespace MyApp
{
    class Program
    {
        static void Main(string[] args)
        {
            Console.Write("Enter rows: ");
            int rows = Convert.ToInt32(Console.ReadLine());
            Console.Write("Enter base: ");
            int baseVal = Convert.ToInt32(Console.ReadLine());
            if (rows < 1) return;

            for (int i = 1; i <= rows; i++)
            {
                for (int j = 1; j <= i; j++)
                    Console.Write((baseVal + i + j) + " ");
                Console.WriteLine();
            }
        }
    }
}

How It Works

Same formula core as Example 1; baseVal replaces hard-coded 9 and rows replaces 5.

⚡ Smaller Demo

Run with rows = 3 to trace every row on paper before scaling up.

Example 3 — Compact rows = 3

Same nested-loop formula with a smaller row count for quick tracing.

C#
using System;

namespace MyApp
{
    class Program
    {
        static void Main(string[] args)
        {
            int rows = 3;

            for (int i = 1; i <= rows; i++)
            {
                for (int j = 1; j <= i; j++)
                    Console.Write((9 + i + j) + " ");
                Console.WriteLine();
            }
        }
    }
}

How It Works

Only rows changes from 5 to 3 — the nested-loop formula stays identical. Trace i = 1, 2, 3 on paper to see how each row adds one more value.

🧠 How the Algorithm Prints Rows

1

Set up

using System; brings in Console. Set loop variables i, j with rows = 5.

Setup
2

Outer loop walks rows

for (i = 1; i <= rows; i++) — one growing row per iteration.

Row
3

Inner loop (j)

for (j = 1; j <= i; j++) — prints i values per row.

Grow
4

Print formula

Console.Write((9 + i + j) + " ") — each value from the arithmetic formula.

Formula
5

New line

Console.WriteLine() ends the row after the inner loop finishes.

Break
=

Increasing triangle complete

Prints per row = i — O(n²) time, O(1) extra memory.

Trace

🔎 Worked Walkthrough — rows = 5

Trace each outer-loop value of i, inner-loop range, values printed, and full row output.

iInner range (j)Values (9+i+j)Row output
111111
21, 212, 1312 13
31, 2, 313, 14, 1513 14 15
41..414, 15, 16, 1714 15 16 17
51..515, 16, 17, 18, 1915 16 17 18 19

Prints per row = i — total prints = n(n+1)/2 for n rows.

Use Cases

Where this tiny pattern (and its loop structure) shows up beyond the homework prompt.

1. Teaching Nested Loops

Clearest visual proof that outer and inner bounds interact.

Example: change inner bound to j <= rows and watch every row print the same width.

2. Pattern Series Base

Foundation for formula-based triangles, custom bases, and left-shifted sequences.

Example: continue to Program 33 for the i + j - 1 variant starting at 1.

3. Console Formatting Drills

Practice Write vs WriteLine without complex math.

Example: put WriteLine inside the inner loop by mistake.

4. Padding character

Add spaces between digits once the two-loop structure works.

Example: use Console.Write(j + " ") between digits for wider spacing.

5. Complexity Intuition

Triangular totals make O(n²) concrete for beginners.

Example: count printed numbers for rows = 5 — total is 1+2+3+4+5 = 15.

6. Input Validation Labs

Pair the pattern with TryParse and positive-row checks.

Example: reject max <= 0 and re-prompt.

Pro Tip: when an interviewer asks for patterns, explain the outer/inner roles first — then write the loops. The story matters as much as the code.

Advantages

Why this pattern earns a permanent spot in beginner C# courses.

  1. 1. Instant Visual Feedback

    Wrong bounds show up immediately as a broken staircase.

  2. 2. Minimal Concepts

    Only loops and console output — no arrays or math libraries.

  3. 3. Easy to Extend

    Invert, center, hollow, or change the fill character with small edits.

  4. 4. O(1) Extra Memory

    Streaming output needs no storage beyond loop counters.

Pro Tip: trace i and j on paper for rows = 3 before coding — watch how each row prints i values starting at 9 + i + 1.

Usage Tips

Small habits that keep number-pattern code clean.

  1. 1. Growing Inner Loop

    Inner bound must be j <= i — row i prints exactly i numbers.

  2. 2. Prefer TryParse

    Avoid crashes when the user types letters instead of a number.

  3. 3. Keep WriteLine Outside

    Only call WriteLine() after the inner loop finishes the row.

  4. 4. Trace 9 + i + j on Paper

    Write the formula for each (i, j) pair before coding the loops.

  5. 5. Dry-Run rows = 3

    Trace i = 1..3 on paper before coding the full rows = 5 demo.

Pro Tip: if the output is a vertical list of single digits per line, you almost certainly put WriteLine inside the inner loop.

Common Pitfalls

Mistakes that commonly break increasing number triangles.

  1. 1. WriteLine Inside the Inner Loop

    Each digit lands on its own line — you get a column, not a triangle.

    → Use Write((9 + i + j) + " "); WriteLine only after the inner loop.

  2. 2. Wrong Formula Offset

    Using i + j or 10 + i + j shifts every value — the triangle no longer starts at 11.

    → Keep 9 + i + j (or base + i + j with base = 9).

  3. 3. Wrong Inner Bound

    j <= rows prints a rectangle — every row has the same width.

    → Keep for (j = 1; j <= i; j++) so row i prints i values.

  4. 4. Missing Trailing Space

    Printing numbers without a space makes multi-digit values run together on wider rows.

    → Append " " after each number: Write((9 + i + j) + " ").

  5. 5. Blind Convert.ToInt32

    Letters or empty input throw FormatException.

    → Prefer int.TryParse and re-prompt on failure.

Edge Cases

Check these inputs before calling the solution done.

rows = 1

Single number row

Output is just 11 — one value, one row.

rows = 0

Empty pattern

Outer loop never runs — print nothing or show a message.

Negative

rows < 0

Treat as invalid; re-prompt instead of silent empty output.

rows = 2

Smallest triangle

Two rows: 11 and 12 13.

Bad input

Non-numeric ReadLine

Convert.ToInt32 throws — use TryParse.

Large rows

Large row count

Total prints = n(n+1)/2 — grows quadratically with row count.

Drill

🎯 Practice Problems

Try these variations to lock in the pattern.

1. Custom base value

  • Replace 9 with a user-entered baseVal
  • See Example 2 in the gallery

2. Triangle from 1

  • Continue with Program 33
  • Formula i + j - 1 instead of 9 + i + j

3. Number-star diamond

  • Review Program 31
  • Compare modulus alternation vs arithmetic formula

4. Safe input loop

  • Use TryParse until rows >= 1
  • Then draw the triangle
Important

Notes

  • Formula rule. Each value is 9 + i + j. Inner loop runs j = 1..i — row i prints i numbers.
  • Console.Write stays on the line; WriteLine advances — mix them carefully.
  • Validate rows > 0 for interactive programs; rows = 1 prints a single 11.
  • Change 9 to any base to shift the whole triangle — compare with Program 33 where the formula is i + j - 1.

Quick Takeaway: outer loop i = 1..rows, inner j = 1..i, print 9 + i + j, then WriteLine().

Analysis

⏱️ Time and Space Complexity

ProgramTimeExtra space
Nested loops (Examples 1–3)O(n²)O(1)
Smaller demo (Example 3)O(n²)O(1)
Wrap Up

🎉 Conclusion

The increasing number triangle from 11 is a compact lesson in formula-based nested loops: compute each value with 9 + i + j, grow the inner bound to i, and end each row with WriteLine(). Master the fixed-rows version, then try user input and a smaller trace demo.

Practice the three examples above, then continue to Program 33 for the i + j - 1 variant starting at 1.

Inner bound must be j <= i — validate rows when reading from the console.

View Examples Gallery Continue to Program 33
Pro Tips

💡 Best Practices

✅ Do

  • Use for (i = 1; i <= rows; i++) in the outer loop
  • Inner: for (j = 1; j <= i; j++) prints i values
  • Formula: Console.Write((9 + i + j) + " ")
  • Prefer int.TryParse over bare Convert.ToInt32
  • State O(n²) time when asked about complexity

❌ Don’t

  • Call WriteLine inside the inner loop
  • Use j <= rows in the inner loop (prints a rectangle)
  • Forget the trailing space after each number
  • Ignore bad console input in user-facing demos
  • Skip the rows = 1 edge case
Summary

Key Takeaways

Knowledge Unlocked

Five things to remember about this increasing triangle

Print the pattern the beginner-friendly way.

5
Core concepts
△ 01

Formula

9 + i + j

Definition
↻ 02

Inner bound

j = 1..i

Code
+ 03

Base offset

Starts at 11

Code
↓ 04

Row break

WriteLine after j

Shape
O 05

Complexity

O(n²) time

Analysis
🎯 You’re ready to print an increasing number triangle from 11 in C#
Review Quick Reference →

❓ Frequently Asked Questions

Because the printed value is 9 + i + j. On the first row i = 1 and j = 1, so 9 + 1 + 1 = 11.
It is a base offset. Change 9 to any base value to shift the entire triangle — see Example 2.
Program 32 uses 9 + i + j (starts at 11). Program 33 uses i + j - 1 (starts at 1).
Console.Write((9 + i + j) + " ") keeps digits separated on the same row. WriteLine ends the row.
Replace 5 with rows in the outer loop bound — see Example 2.
O(n²) for n rows because total prints are 1 + 2 + ... + n = n(n+1)/2.
Prefer int.TryParse(Console.ReadLine(), out rows) so bad input does not throw FormatException.
Only one row prints — a single 11.
Yes — Console.Write((baseVal + i + j) + " ") lets the user pick any starting offset.

Did you Know? 🔊

Each printed value is computed as 9 + i + j. Row i = 1 prints 11; row i = 2 prints 12 and 13 — a left-shifted increasing triangle.

Continue to Program 33

Move on to the increasing number triangle starting from 1 (i + j - 1) in the C# number-pattern series.

Program 33 tutorial →

About the author

Mari Selvan M P
Mari Selvan M P 🔗

Developer, cloud engineer, and technical writer

  • Experience 12 years building web and cloud systems
  • Focus Full Stack Development, AWS, and Developer Education

I write practical tutorials so students and working developers can learn by doing—from databases and APIs to deployment on AWS.

AWS Certified Developer – Associate (Credly)

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C# Number Pattern 31 C# Number Pattern 33