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How to solve sequence?

  1. Sep 26, 2011 #1
    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
     
  2. jcsd
  3. Sep 26, 2011 #2

    mathman

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    (-1/2)n, where n starts from 0.
     
  4. Sep 26, 2011 #3
    Oh so you do include 0 in the number line. HOw does this look: 1/(-2)n
     
  5. Sep 27, 2011 #4

    mathman

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    It looks the same. -1/2 = 1/(-2)

    Also (a/b)n = an/bn
     
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