Question

find the sum of the infinite geometric series, if it exists.

-30 -6 -6/5 -6/25 -.....

Answer 1

is it times 5? do not exist is an answer choice

Answer 2

does not exist*

Answer 3

r is not 5, it's 1/5 (dividing by 5 = multiplying by 1/5).

\[S_n=\frac{ a_1 }{ 1-r }\]

Answer 4

a_1 is the first term and r is 1/5

Answer 5

a_1=-30
a_2= -30/1-1/5?

Answer 6

\(\frac{ -30 }{ 1-\frac{ 1 }{ 5 } }\) is the sum of the series. you don't need any term other than the first one. All you have to do is simplify that to one number

Answer 7

37.5 = -75/2

Answer 8

that's the answer

Answer 9

ok cool thank you!

Answer 10

you're welcome