Answer
The nth partial sum of a sequence is the sum of the first n terms of the sequence. So for the sequence $a_{n}$ = $n^{2}$ the fourth partial sum is $1 + 4 + 9 + 16 = 30$.
Work Step by Step
Definition of partial sum of a sequence. For the sequence $a_{n}$ = $n^{2}$ plug in 1 for n = $1^{2}$ for the first term, $2^{2}$ for the second term and so on. Add the first four terms together $(1 + 4 +9 + 16)$ to get 30. 30 is the 4th partial sum of the sequence.