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Find the common ratio for the following sequence. 1/2, -1/4, 1/8, -1/16, ...
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-1/2
-1/2
You are looking for the fraction you multiply by each term to get the next one.\[ -1/2 \times -1/2 = -1/4\], etc.
divide the a term by the term before it; and you get the ratio
1/8 ---- = -4/8 = -1/2 -1/4
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polpak:\(-1/2\times -1/2\neq-1/4\) :P
is: ((-1)^i+1)(1/2)^i where i= 1, 2, 3 .....
Bah.. had an extra negative in there.. You get the point ;p
polpak -1/2 x -1/2= 1/4 - x -= + - x += -
i=1 => ((-1)^2)(1/2) = 1/2 i=2 => ((-1)^3)(1/4) = -1/4 just reemplace i for any numbre
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