Find a formula for the general term a_n of the sequence assuming the pattern of the first few terms continues.

{ -4/2,6/4,-8/8,10/16,-12/32,...}

Assume the first term is a_1.

Question

Find a formula for the general term a_n of the sequence assuming the pattern of the first few terms continues.

{ -4/2,6/4,-8/8,10/16,-12/32,...}

 Assume the first term is a_1.

anonymous · Answer

is this an arithmetic or geometric series/sequence?

anonymous · Answer

https://www.khanacademy.org/math/trigonometry/seq_induction/seq_and_series/v/explicit-and-recursive-definitions-of-sequences

anonymous · Answer

this is a geometric sequence, that video was about arithmetic!

luigi0210 · Answer

@OffnenStudieren can you help them?

anonymous · Answer

try the one about geometric sequences and series then

anonymous · Answer

@Luigi0210 I am busy with this person at the moment http://openstudy.com/study#/updates/5220d361e4b06211a67ecd56

anonymous · Answer

sorry

luigi0210 · Answer

Oh, I know the answer.. pretty easy.. but Idk how to explain it/

luigi0210 · Answer

Here is the equation for the pattern:
$$\frac{2n+2}{-2^n}$$

luigi0210 · Answer

If n starts at 1

anonymous · Answer

oh, right. I remember sorta kinda now

anonymous · Answer

isn't that an equation? It equals something?

anonymous · Answer

@Luigi0210

anonymous · Answer

isn't that an equation? It equals something?

anonymous · Answer

I understand kind of, but how does one alter it to fit the specific function? like that is just a sequences equation?
right?

luigi0210 · Answer

Sorry, technical difficulties , but yea

anonymous · Answer

but for this specific question, does it have 2 or something else?

anonymous · Answer

the -2 should be in parentheses

luigi0210 · Answer

Yea, sorry I thought they knew it would be

anonymous · Answer

^I miss understood your help @Luigi0210 thank you! that was really helpful.