Write out the first few terms of the geometric series, summation from n equals 0 to infinity (startfraction x minus 4 over 4 endfraction )superscript n , to find a and r, and find the sum of the series. then, express the inequality, startabsolutevalue r endabsolutevalue less than 1, in terms of x and find the values of x for which the inequality holds and the series converges.

a=1 converges for 0<x<8

Step-by-step explanation:

Given that a geometric series infinite is given in summation form as

Here I term is when n =0

So a= I term =

r = common ratio =

This series converges only if

For 0<x<8, we get absolute value of r is less than 1.

Hence series converges for

i would have to say it is c.

you can't solve x because it is 2 linear equation and you only have one equation