Summation Calculator
Calculate the sum of i^k from i=1 to n. Supports sum of integers, squares, and cubes.
Requested
385
Sum Integers55
Sum Squares385
Sum Cubes3,025
Summation Formulas
Sum of Integers
sum(i, 1, n) = n(n+1)/2
Sum of Squares
sum(i², 1, n) = n(n+1)(2n+1)/6
Sum of Cubes
sum(i³, 1, n) = [n(n+1)/2]²
Notice that the sum of cubes equals the square of the sum of integers.
Example Calculation
Sum of i² from 1 to 10.
- 01Sum of integers: 10×11/2 = 55
- 02Sum of squares: 10×11×21/6 = 2310/6 = 385
- 03Sum of cubes: (55)² = 3025
Frequently Asked Questions
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