Review question

# Can we prove that $\sum_{i=1}^n H_i=n^3?$ Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9884

## Suggestion

A sequence of numbers $H_1$, $H_2$, $H_3$, … is defined as follows: $H_1=1$ and $H_n=H_{n-1}+6(n-1)$ for $n \ge 2$.

1. Find an expression for $H_n$ in terms of $n$.

Can we write $H_n$ in terms of the previous $H_i$?