Question

Find the common ratio for the following sequence.
1/2, -1/4, 1/8, -1/16, ...

Answer 1

-1/2

Answer 2

-1/2

Answer 3

You are looking for the fraction you multiply by each term to get the next one.\[ -1/2 \times -1/2 = -1/4\], etc.

Answer 4

divide the a term by the term before it; and you get the ratio

Answer 5

1/8
---- = -4/8 = -1/2
-1/4

Answer 6

polpak:\(-1/2\times -1/2\neq-1/4\) :P

Answer 7

is: ((-1)^i+1)(1/2)^i where i= 1, 2, 3 .....

Answer 8

Bah.. had an extra negative in there.. You get the point ;p

Answer 9

polpak -1/2 x -1/2= 1/4
- x -= +
- x += -

Answer 10

i=1 => ((-1)^2)(1/2) = 1/2
i=2 => ((-1)^3)(1/4) = -1/4
just reemplace i for any numbre