FUNCTION 11..HELP!

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The sun of the first five terms of a geometric series is 186 and the sum of the first six terms is 378. if the fourth term is 48, determine a,r, t10, S10

  • FUNCTION 11..HELP! -

    The sun of the first five terms of a geometric series is 186 and the sum of the first six terms is 378. if the fourth term is 48, determine a,r, t10, S10

  • FUNCTION 11..HELP! -

    Since S6 = S5 + T6,
    378 = 186 + T6
    T6 = 192

    T6 = T4*r^2
    192 = 48r^2
    r^2=4
    r=2

    T4 = ar^3
    48 = 8a
    a = 6

    Sequence is thus

    6, 12, 24, 48, 96, 192, ...

    T10 = 6*2^9 = 3072
    S10 = 6*(1023) = 6138

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