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13 August, 03:42

What is the 7th term of the geometric sequence where a1 = 1,024 and a4 = - 16?

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  1. 13 August, 05:04
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    -16=ar^4 divided by 1024=ar is:

    -1/64=r^3

    r=-1/4

    1024=a (-1/4), a=-4096 so

    a (n) = - 4096 (-0.25^n)

    a (7) = - 4096 (-0.25^7) = 0.25
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