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Which number should come next 64 16 4 1 ¼?

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What number should come next in this series 1 4 9 16?

The series appears to increase as follows: 1 (+3), 4 (+5), 9 (+7), 16,, etc. If so, the next number in the series would be 25 (16 + 9). * * * * * While mathematically equivale