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7 October, 07:47

What is the sum of the first ten terms of the sequence - 82,-76,-70,-64?

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  1. 7 October, 07:58
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    To find the sum of a geometri sequence from first term to nth term you do

    Sn = (n (a1+an)) / 2

    a1=-82

    n=10

    hmm

    common difference is 6 since adding 6 each time

    first term is - 82

    10th term is - 82+6 (10-1) = - 28

    sum of 10 terms is

    Sn = (10 (-82-28)) / 2

    Sn = (10 (-110)) / 2

    Sn = (-1100) / 2

    Sn=-550

    answer is - 550
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