Sum of First N Odd Numbers Table: Sum by How many odd numbers (n)
Reference table of sum for Sum of First N Odd Numbers across a range of how many odd numbers (n) values — exact, engine-computed figures you can read off at a glance.
Sum of First N Odd Numbers Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Sum
100
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Sum of First N Odd Numbers Calculator
The Sum of First N Odd Numbers Calculator works out your sum in an instant. Enter how many odd numbers (n) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the how many odd numbers (n).
- Read off your sum — the calculator updates automatically, with no button to press.
Formula
The Sum of First N Odd Numbers Calculator uses the formula:
Sum = How many odd numbers (n) ^ 2
Worked example
For example, with how many odd numbers (n) of 10, the sum is 100.
| How many odd numbers (n) | 10 |
|---|
| Sum | 100 |
|---|
Results are estimates for educational use, not professional advice.
Frequently asked questions
It is n². The first 10 odd numbers (1 to 19) sum to 100.
Each new odd number adds the next layer of a square, so the running total is always a square number.
5² = 25, which is 1 + 3 + 5 + 7 + 9.
Yes. It assumes the odd numbers begin at 1 and increase by 2 each time.
The Sum of First N Odd Numbers Calculator uses the formula: Sum = How many odd numbers (n) ^ 2. For example, with how many odd numbers (n) of 10, the sum is 100.
Enter the how many odd numbers (n). Read off your sum — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Sum of First N Odd Numbers: Formula, Steps & Examples
Learn how to calculate Sum of First N Odd Numbers — the formula explained step by step, with worked examples and a free calculator to check your answer.