Question

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

r=?

a1=?

n=?

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=(1)/(0.25)=(4)/(1)=(16)/(4)=(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.`