Question

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Answer 1

it is convergent?

Answer 2

looks like a geometric series. what's the r for this series?

Answer 3

divide a term by the previous term to find r.
see if r satisfies the condition for a convergent geometric series.

Answer 4

The r is -0.03703703703

Answer 5

(-1/9)/(1/3) = -.037.... ?

Answer 6

so its a convergent.

Answer 7

because if r is less than 1 is convergent and if r is greater than 1 and has no limit..it is a divergent

Answer 8

you should probably find the ratio accurately first. It will be useful in other problems.
(1/9)/(-1/3) = ...?

Answer 9

it equals = -0.33

Answer 10

you're right about that second part... but r isn't -.037037...

Answer 11

yes

Answer 12

so yes, convergent because |-1/3| <1

Answer 13

I had one last q..can you check im wrong?
1/6 + 1/6^2 + 1/6^3 + 1/6^4

^ this is a divergent

Answer 14

what's the ratio?

Answer 15

the ratio is 0.138888

Answer 16

i subtracted 1/6 - 1/36

Answer 17

Is that how you find the ratio?

Answer 18

(1/6) / (1/36)

Answer 19

(1/36)/(1/6)

Answer 20

0.166

Answer 21

so it is not a divergent

Answer 22

convergent, yes.