trig

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for the geometric series shown, state whether the series in convergent. If the Series is convergent give its sum
9+6.3 +4.41 +...
a tutor helped me earlier but how is the sum 0.7

  • trig -

    9+6.3 +4.41 +...
    = 9(1 + .7 + .49 + ..
    = 9(1 + .7 + .7^2 + ...)

    the bracket is a geometric series with a first term of 1 and a common ration of .7

    S = a/(1-r)
    = 1/(1-.7)
    = 1/.3
    = 10/3

    so the total sum is 9(10/3) = 30

  • trig -

    so wats 2+2

  • trig -

    The sum is is not 0.7. That is the ratio of successive terms.

    I thought I answered the question earlier. The sum converges to 30

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