Question

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

108, -18, 3,-1/2 , ...

OPTIONS:
Converges; 19980

Converges; 0

Diverges

Converges; 648/5
I GIVE MEDALS PLEASE HELP?

Answer 1

I'm assuming it is going to converge to zero, because the terms keep decreasing. Every step, you divide by 6, with alternating signs. I'm having trouble writing it as a closed form formula though so you can mathematically show that the limit is 0

Answer 2

Well I mean they are decreasing "in absolute value". They keep oscillating towards the x-axis but the "oscillation" keeps decreasing with every step

Answer 3

so b ?

Answer 4

it is a geometric sequence with common ratio \[\large r=-\frac{1}{6}\]

Answer 5

@sirm3d option B is the answer? right

Answer 6

Ah yes sim3d is correct. The limit of that would indeed be 0

Answer 7

@kirbykirby is correct in his observation.