Select the number from among the given options that can replace the question mark (?) in the following series.
176,167,156,147,136, ?
Correct Answer :
127
Solution :
The correct option is 127.
Let's analyze the pattern of the given series step-by-step:
The series is: 176, 167, 156, 147, 136, ?
Let's calculate the difference between consecutive terms:
First term to second term:
Second term to third term:
Third term to fourth term:
Fourth term to fifth term:
(Wait, let's re-verify the pattern of alternating differences or simple subtraction: -9, -11, -9, -11, -9...)
Let's calculate carefully:
176 - 9 = 167
167 - 11 = 156
156 - 9 = 147
147 - 11 = 136
Indeed, .
Following this alternating subtraction pattern of -9 and -11:
The differences are:
-9, -11, -9, -11, ...
Thus, the next subtraction should be -9.
Let's find the missing term:
Therefore, the number that replaces the question mark (?) is 127.
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