Sketch the graph of the sequence of partial sum of the series .

Question

Sketch the graph of the sequence of partial sum of the series  . ​

Quizplus · Accepted Answer

The partial sum of the given series is as follows:
S1 = 1
S2 = 1 + 4
S3 = 1 + 4 + 16
S4 = 1 + 4 + 16 + 64
S5 = 1 + 4 + 16 + 64 + 256
...
We can see that each partial sum is obtained by adding the square of the previous term to the current term. Therefore, the correct choice must have the correct sequence of squares.
Option C is the only one that has the correct sequence of squares (1, 4, 16, 64, 256, ...) and therefore the correct partial sums.

Sketch the Graph of the Sequence of Partial Sum of the Series