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21 February, 22:23

What is the sum of a 7-term geometric series if the first term is - 11, the last term is - 171,875, and the common ratio is - 5? - 143,231 - 36,047 144,177 716,144

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  1. 22 February, 01:51
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    The answer is - 143,231.

    The first step to solving this problem is to find all terms in the sequence. Since this is a geometric sequence, the next term can be found by multiplying the current term by the common ratio.

    That means that the second term can be found by: - 11*-5 = 55

    And the third term can be found by 55*-5 = - 275

    And so on ...

    Here are all seven terms:

    -11, 55, - 275, 1375, - 6875, 34375, - 171,875

    The next step is to add them all up to find the sum which end up as - 143,231, which is your final answer.
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