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Which of the following numbers will replace the question mark (?) in the given series?225, 221, 214, 201, 176, ?
Question

Which of the following numbers will replace the question mark (?) in the given series?

225, 221, 214, 201, 176, ?

A.

125

B.

132

C.

127

D.

129

Correct option is C

Given:
225, 221, 214, 201, 176, ?
Logic:
Difference of two constitutive number is increasing from 4,7,13,25
225−221=4
221 − 214 = 7
214 − 201 = 13
201 − 176 = 25
Let's observe the differences between these differences:
7−4=3
13 − 7 = 6
25 − 13 = 12
The second-order differences are:
3,6,12
These differences are doubling, so the next difference should be
12 ×\times 2 = 24
​The next difference between consecutive terms should be
25 + 24 = 49
The last known term is 176 so the next term is:
176 - 49 = 127 
The next number in the series is 127.​
Thus, correct option is (c)

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