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3 May, 16:50

Find the sum of the first 30 terms in this geometric series - 5 - 4 - 16/5

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  1. 3 May, 20:45
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    -24.97 to the nearest hundredth.

    Step-by-step explanation:

    First term a1 = - 5.

    Common ratio r = - 4/-5 = 4/5.

    Sum of n terms = a1 * [1 - (4/5) ^n] / (1 - 4/5)

    Sum of 30 terms = - 5 * (1 - (4/5) ^30) / 1/5

    = - 25 * (1 - (4/5) ^30)

    = - 24.97
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