Question

0.25 + 1 + 4 + 16 + 64 Enter the values used in finding a partial sum.

Answer 1

This is a geometric series

r = 4
a1 = 0.25
n = 5

Answer 2

Answer:  The required values are

$r=4,~~a_1=0.25~~\textup{and}~~n=5.$

Step-by-step explanation:  We are given a partial sum as follows :

0.25 + 1 + 4 + 16 + 64.

We are to find the values of $r,~~a_1~~\textup{and}~~n.$

From the given partial series, we note that

the series is a geometric one with first term 0.25 and common ratio calculated as follows :

$r=\dfrac{1}{0.25}=\dfrac{4}{1}=\dfrac{16}{4}=\dfrac{64}{16}=4.$

Also, since there are 5 terms in the given sum, so the value of n is 5.

Thus, the required values are

$r=4,~~a_1=0.25~~\textup{and}~~n=5.$