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Sum of Consecutive Cubes Calculator


Enter the Nth term :

 

Sum of consecutive cubes:
Calculate the sum of first n cubes or the sum of consecutive cubic numbers from n13 to n23 . A cube number (or a cube) is a number you can write as a product of three equal factors of natural numbers. The sum of consecutive cubic numbers from n13 to n23 is equal to:
n13 + (n1 + 1)3 + ... + n23

Formula:

Sum of consecutive squares = (n2(n + 1)2/4 )

Examples

let's understand the simple method to calculate the Sum of consecutive squares for given value as follows:

for example we input the value 5 it means we wants the sum of 13,23,33,43, and 53

= 1x1x1 + 2x2x2 + 3x3x3 + 4x4x4 + 5x5x5

= 1 + 8 + 27 + 64 + 125

= 225

now calculate the same example using following formula:

Sum of consecutive squares = (n2(n + 1)2/4 )

= 5x5 (5 + 1)(5 + 1)/4

= 25 (6x6)/4

= 25x36/4

= 25x9

= 225