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12 December, 06:38

What is the fifth term of the geometric sequence where a1=4,096 and the common ratio is - 1/4

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  1. 12 December, 07:07
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    16

    Step-by-step explanation:

    If the first term a1 and the common ratio - 1/4 are known, then a (n) = a1*r^ (n-1).

    Here we have a (n) = 4096 (-1/4) ^ (n-1).

    Thus, a (5) = 4096 (-1/4) ^4 = 16
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