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26 October, 14:36

An auditorium has 32 rows with20 seats in the first row and 6 more seats in each of the successive rows. how many seats are there in the auditorium?

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  1. 26 October, 15:01
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    Sum of a geometric sequence is

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

    32 rows so a32 must be found

    a1=20

    n=32

    first term is 20

    common differnce is 6

    term to find is 32nd

    32th row has 20+6 (32-1) or206

    S32 = (6 (32+206)) / 2

    S32 = (3 (238))

    S32=714

    answer is 714 seats
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