Question

Find the sum of the geometric sequence.

3/2, 3/8, 3/32, 3/128, 3/512

Answer 1

use the partial sum formula

Answer 2

\(\large S_n = a\left(\frac{1-r^n}{1-r}\right)\)

Answer 3

figure out the numbers and plugin

Answer 4

ummmm can you give me a hint? Is the fraction going to be big or small?

Answer 5

first term, a = 3/2

Answer 6

common ratio, r = ?

Answer 7

r = 3?

Answer 8

Thanks for the message. I get it now.

Answer 9

nope r = ratio of adjacent terms

r = ( 3/8 ) / ( 3/2 )
= 1/4

Answer 10

count the number of terms,
n = ?