What is the sum of ten terms of an infinite geometric series if the first term is 8 and the ratio is 1/2

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What is the sum of ten terms of an infinite geometric series if the first term is 8 and the ratio is 1/2

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    2021-10-14T23:17:01+00:00

    Answer:

    We use the formula:

    S 10 = 8 · [(1/2)^9 – 1] / (1/2 – 1 );

    Then, S 10 = 8 · ( 1/512 – 1 ) / ( 1/2 – 1 );

    S 10 = 8 · ( – 511 / 512 ) / (-1 / 2 );

    S 10 = ( – 511 / 64 ) · ( – 2 );

    S 10 = + 511 / 32;

    S 10 = 15.96;

    Step-by-step explanation:

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