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

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

Question

Determine whether the sequence converges or diverges. If it converges, give the limit.

108, -18, 3, -1/2, ...

amistre64 · Answer

is this an arithmetic or geometric sequence?

amistre64 · Answer

in a geometric sequence, as long as the common ratio is less than 1 it should converge to zero.

amistre64 · Answer

should prolly correct that as:$$|r|<1$$

anonymous · Answer

I don't really know... but the limit was 648/7.. which I don't understand

amistre64 · Answer

from the looks of it  3r = 1/2  if r = 1/6

108/6 = 18
18/6 = 3
3/6 = 1/2

(1/2)/6 = 1/12
1/12 /6 = 1/72

as the terms continue, the value  tends towards 0

amistre64 · Answer

the limit of the sequence is therefore 0

anonymous · Answer

If the limits 0 why was the answer 648/7? or is it the same thing?

amistre64 · Answer

im not sure what your 'answer' is unless your not looking at the right place for the answer maybe?   if you can upload a screenshot or pic of the actual question itll help avoid misinterpretations.

anonymous · Answer

It may be an error made by my teacher - I'll consult with him. Thank you

amistre64 · Answer

good luck