Identify the next number in the Series:
662, 645, 625, 599, ...

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570

589

587

566

answer is D.

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Detailed Solution

To identify the next number in the series 662, 645, 625, 599, let's analyze the pattern:

The differences between consecutive terms are:
662 - 645 = 17
645 - 625 = 20
625 - 599 = 26
So, the differences are 17, 20, and 26.
The differences between these differences (second differences) are:
20 - 17 = 3
26 - 20 = 6
This suggests the second difference is increasing by 3 each time.
If this pattern continues, the next second difference should be 9 (6 + 3).
Therefore, the next first difference would be 26 + 9 = 35.
Subtracting this from the last number in the series:
599 - 35 = 564.

The next number in the series is 564.

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