(picture) infinite sequences and series

option B is correct, i.e. sum = 16.

Step-by-step explanation:

Given the geometric series is:  20 -5 +5/4 -5/16 +

First term, a = 20

Common ratio, r = -5/20 = -1/4

We know the formula for sum of infinite geometric series is given as follows:-

Sum = a/(1 - r)

Sum = 20/(1 - ((-1/4))

Sum = 20/(1 + 1/4)

Sum = 20/(5/4)

Sum = 20*4/5 = 16.

Hence, option B is correct, i.e. sum = 16.

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8