Will give a medal:

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

108, -18, 3, negative one divided by two, ...

Just need an explanation on how to do these types of problems.

Question

Will give a medal:

Determine whether the sequence converges or diverges. If it converges, give the limit. 

108, -18, 3, negative one divided by two, ...

Just need an explanation on how to do these types of problems.

irishboy123 · Answer

Find the common ratio first

anonymous · Answer

@irishboy123 I didn't think there was one.

anonymous · Answer

@LynFran Could you please help?

irishboy123 · Answer

$108 \times  ?? = -18$

$-18 \times ?? =  3$

$ 3 \times  ?? =  -\frac{1}{2} $

anonymous · Answer

-1/6 @IrishBoy123

anonymous · Answer

So then what? @IrishBoy123

irishboy123 · Answer

yes

so you took 108 and started multiplying it by -1/6

so the terms of the sequence gradually becomes what?

anonymous · Answer

0?

irishboy123 · Answer

yes

anonymous · Answer

So converges at 0?

irishboy123 · Answer

y https://www.mathsisfun.com/definitions/converging-sequence.html

anonymous · Answer

Can you help me with one more?
Write the sum using summation notation, assuming the suggested pattern continues.

-8 - 3 + 2 + 7 + ... + 67

anonymous · Answer

And it converges at 0 because the values get closer and closer to 0

irishboy123 · Answer

yes

for next one, post new thread

anonymous · Answer

Ok