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
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)