Sum of naturals & squares calculator
Closed formulas for 1+2+…+n and 1²+2²+…+n².
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Sum of naturals & squares calculator: how it works
Practical information to understand the result and use this tool correctly.
About Sum of naturals & squares calculator
Gauss’s formula sums 1 through n in constant time.
The sum of squares formula is a standard discrete-math identity.
Ideal for checking homework and induction examples.
How to use it
- 1Enter n ≥ 0.
- 2Read both closed-form results.
- 3Try small n to verify by hand.
Frequently asked questions
- Sum of cubes?
- That equals [n(n+1)/2]² — not included here yet.
- n = 0?
- Both sums are 0.