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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That series is the cubes of the counting numbers.
1 8 27 64 125 216 343
Cubed integers
64 should be in between 27 and 125.
0, 1, 8, 27, 64 and 125.