Question

Determine whether the sequence converges or diverges. If it converges, give the limit.

60, -10,5/3 ,5/18 , ...

Answer 1

lets see if we have a common ratio here:

-10/60 = -1/6, 5/3 / -10 = -5/30 = -1/6
5/18 / 5/3 = -6

ok - are you sure you have the question right?

Answer 2

* 1/6

Answer 3

is the second term 10 , not -10?

Answer 4

oh my bad!! it's -10 and -5/18

Answer 5

oh ok so r = -1/6
so we have a geometric sequence which oscillates

Answer 6

so is it converging with a limit of 0?

Answer 7

looks like but i'd have to check..

Answer 8

okay let me know, please

Answer 9

is that correct?

Answer 10

the sum to infinity is a / 1 - r = 60 /( 1 - (-1/6) = 60 / 7/6 = 360/7 = 51.43

Answer 11

a GP with -1 < r < 1 converges to a limit

Answer 12

these are the answer choices:
Diverges

Converges; 11100

Converges; 72

Converges; 0

Answer 13

converges 0 is correct the terms come very close to zero at infinity