## anonymous one year ago find the sum of the infinite geometric series, if it exists. -30 -6 -6/5 -6/25 -.....

1. anonymous

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

2. anonymous

does not exist*

3. anonymous

r is not 5, it's 1/5 (dividing by 5 = multiplying by 1/5). $S_n=\frac{ a_1 }{ 1-r }$

4. anonymous

a_1 is the first term and r is 1/5

5. anonymous

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

6. anonymous

$$\frac{ -30 }{ 1-\frac{ 1 }{ 5 } }$$ 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

7. anonymous

37.5 = -75/2

8. anonymous

9. anonymous

ok cool thank you!

10. anonymous

you're welcome