Determine whether the geometric series is convergent or divergent. (5 - 8 + 64/5 - 512/25 + ...) convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
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The series is given as: 64(5 - 8 + 512 + ...) We can rewrite this as: 64(-3 + 512 + ...) Now, we can see that the first term (a) is -3 and the common ratio (r) can be found by dividing the second term by the first term: r = 512 / -3 ≈ -170.67 Now, we need to Show more…
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