Complete the sequence

42, 8, 76, -60, 212, -332, ?
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1 Answer

8-42=-34, 76-8=68 (2×34), -60-76=-136 (-2×68),  212-(-60)=272 (2×136), -332-212=-544 (-2×272).

The pattern indicates that we should double -544=-1088 and negate: 1088. So the next term is 1088-332=756.

42, 8, 76, -60, 212, -332, 756.

Formula for nth term is 42+34((-2)ⁿ-1)/3 for n≥0.

by Top Rated User (1.1m points)

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