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Identify the next number in the Series:
100, 99, 96, 91, 84, 75, 64,_____

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answer is A.

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Detailed Solution

The next number in the series is 51.

Here's the reasoning:

The differences between consecutive numbers are: 1, 3, 5, 7, 9, 11.
These differences increase by 2 each time.
Following this pattern, the next difference should be 13.
Subtracting 13 from the last number (64 - 13) gives 51.

So, the completed series is:
100, 99, 96, 91, 84, 75, 64, 51.

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