Question

Find the common ratio for the following sequence.



1/2, -1/4, 1/8, -1/16, ...

Answer 1

i guess lol i dont know what that means

Answer 2

the lesson title is geometric sequences

Answer 3

a sequence in which the next term is found by multiplying the
previous term by a constant (the common ratio r)

Answer 4

The common ratio is -1/2, since each term is being multiplied by a factor of -1/2

Answer 5

We're just looking for the ratio Jhan :P

Answer 6

IM GETTING CONFUSED lol is it -1/2 or just 1/2

Answer 7

Hm, you sure? it does have a pattern of +, -, +, -,...

Answer 8

both of your answers are possible choices and because i have no idea what im doing it makes it really hard to pick who is right lol

Answer 9

Oh, then if we were to avoid the equation then it would just be -1/2 as the common ratio...

let's take it two numbers at a time. \[\frac{-1/4}{1/2}=-\frac{1}{2}\]\[\frac{1/8}{-1/4}= -\frac{1}{2}\]\[\frac{-1/16}{1/8}=\frac{-1}{2}\]

Answer 10

So yes... the ratio is -1/2...

Answer 11

She's great at explanations ^_^

Answer 12

For future reference, if you divide the preceding term with the one before, and find a common number between all the divisions, then the common ratio is result from dividing preceding/number before. This applies to geometric sequences.

Answer 13

i sorta understand now, thank you both again for all the help

Answer 14

I wasn't much help.. I just gave an answer D:

Answer 15

but you are welcome :P

Answer 16

lol