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9 January, 03:48

Write the first five terms of each of the following recursively defined sequences:

an+1 = 2 (an) ^2, a1 = x, where x is a real number Write each term in the form kxn.

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  1. 9 January, 07:42
    0
    See below in bold.

    Step-by-step explanation:

    a1 = x

    a2 = 2 (a1) ^2 = 2x^2

    a3 = 2 (a2) ^2 = 2 (2x^2) 2 = 2 (4x^4) = 8x^4

    a4 = 2 (a3) ^2 = 2 (8x^4) ^2 = 128x^8

    a5 = 2 (a4) ^2 = 2 (128x^8) ^2 = 32768x^16.
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