Select the number from among the given options that can replace the question mark (?) in the following series: 672, 677, 686, 699, 716, ?

Question

Accepted Answer

Let's analyze the differences between consecutive terms in the series:

Series: 672, 677, 686, 699, 716, ?

Differences:
677 - 672 = 5
686 - 677 = 9
699 - 686 = 13
716 - 699 = 17

The differences are: 5, 9, 13, 17
These are consecutive prime numbers starting from 5 (5, 7, 11, 13, 17, 19, ...), but here the difference sequence is 5, 9, 13, 17 which is not prime but increasing by 4 each time:

9 - 5 = 4
13 - 9 = 4
17 - 13 = 4

So the pattern in differences is increasing by 4 each time starting from 5.

Next difference = 17 + 4 = 21

Therefore, next term = 716 + 21 = 737

Hence, the number that replaces the question mark is 737.

Answer

Answer

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