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12 April, 20:21

Find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression - 2 (3) ^n - 1.

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  1. 13 April, 00:16
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    The sum if the geometric sequence given by:

    an=-2 (3) ^ (n-1)

    will be:

    when:

    n=1

    an=-2

    when n=2

    a2=-6

    when n=3

    a3=-18

    when n=4

    a4=-54

    when n=5

    a5=-162

    when n=6

    a6=-486

    when n=7

    a7=-1458

    when n=8

    a8=-4374

    thus the summation of the term will be:

    Sn = (-4374+-1458+-486+-162+-54+-18+-6+-2)

    Sn=-6560

    the answer is - 6560
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