MaTh

A certain 300-term geometric sequence has first term 1337 and common ratio -1/2. How many terms of this sequence are greater than 1?

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asked by Speedo
  1. 1337 * (-1/2)^n <= 1
    Since
    2^10 = 1024
    2^11 = 2048

    |Tn|>1 for n<=11
    But, Tn < 0 for n even, so only T1,3,5,7,9,11 are greater than 1. So, just 6 terms.

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    posted by Steve
  2. 6 is correct

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    posted by Anonymous

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