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The given series is known as a sequence of perfect cubes with alternating signs. The rule for this series is that each term is the cube of the next integer in the sequence, alternating between positive and negative. In this case, the series starts with -1, then continues with 2^3 = 8, -3^3 = -27, 4^3 = 64, and -5^3 = -125.

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T(n) = (-n)3

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Wiki User

14y ago
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Q: What is the rule for the series -1 8 -27 64 -125?
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