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28 February, 12:48

What is the sum of the geometric sequence 4, 16, 64, ƒ if there are 8 terms?

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  1. 28 February, 13:56
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    In a Geometric Sequence, each term is found by multiplying the previous term by a constant. For this case, the constant is 4. To find the sum of the geometric sequence with 8 terms, we use the formula as follows:

    ∑ (ar^k) = a (1-r^n) / (1-r)

    where a is the first term, r is the constant, n is the number of terms

    ∑ (ar^k) = 4 (1-4^8) / (1-4)

    ∑ (ar^k) = 87380
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