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12 September, 03:27

Which recursive definition could be used to generate the sequence {1, 2,2,4,8,32}

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  1. 12 September, 03:38
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    Given that the sequence is:

    1,2,4,8,32

    the recursive formula will be found as follows:

    first term is=1

    the sequence can be written as:

    1,2,4,8,32

    = (1*2^0), (1*2^1), (1*2^2), (1*2^3), (1*2^4)

    thus the recursive formula will be

    an=a1 (r) ^ (n-1)

    plugging the values we get:

    an=1 (2) ^ (n-1)
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