5. There are at least two ways in which to do this problem.
One option is to consider the given equation and replace every instance of n with (n + 1).
The other option is to split up the required sum, write:
n + 1 |
i2 | = |
n | i2 | + |
(n + 1)2 |
S |
S | |||||
i = 1 |
i = 1 |
and then substitute and simplify.