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Unformatted text preview: 1 2 1 , a 3 = 5 1 2 2 , ..., which means that a n = 5 1 2 n1 , for n = 1 , 2 ,.... (b) Note that this series X n =1 5 1 2 n1 is in the form of a geometric series X n =1 ar n1 , where a = 5 and r =1 2 . Since  r  < 1, this series must converge. Further, its sum is given by a 1r = 5 1(1 2 ) = 5 3 2 = 10 3 ....
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 Fall '10
 KIHYUNHYUN
 Calculus

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