Solving the B Sequence: Tips and Tricks for Finding the Closed-Form Solution

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This sequence is stumping me, how would I go about solving this?

Write the sequence B = 1, -1/2, +1/4, -1/8, +1/16, ... in closed-form. I tried using (-1) has the top with different variable son the bottom, but nothing seems to add up. The 1 in the front is throwing me off. Any help would be appreciated. thank you
 
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(-1/2)n, where n starts from 0.
 
Oh so you do include 0 in the number line. HOw does this look: 1/(-2)n
 
mknabster said:
Oh so you do include 0 in the number line. HOw does this look: 1/(-2)n
It looks the same. -1/2 = 1/(-2)

Also (a/b)n = an/bn
 
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