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What should come in place of the question mark (?) in the given series?1514, 1513, 1517, 1508, 1524, ?
Question

What should come in place of the question mark (?) in the given series?
1514, 1513, 1517, 1508, 1524, ?

A.

1478

B.

1499

C.

1476

D.

1474

Correct option is B

Given: 1514, 1513, 1517, 1508, 1524, ?
Logic: Difference is perfect squrae of natural number with alternating sign.
1513 − 1514 = −1
1517 − 1513 = +4
1508 − 1517 = −9
1524 − 1508 = +16
The next difference should be:
- 52= - 25
Previous term = 1524
Next term = 1524 − 25 = 1499
So, the missing term is 1499.
Thus, correct option is (b).

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