Question

Write the sum using summation notation, assuming the suggested pattern continues. 343 + 512 + 729 + 1000 + ... + n3

Answer 1

`sum=\sum\limits_(k=7)^(n)k^3`

Explanation:

Each of the terms of the sum is a cube. The first is 7³, the next is 8³, then 9³ and 10³. So, we presume the pattern is consecutive integers from 7 to n, each one cubed.