Which of the following numbers will replace the question mark (?) in the given series?
192, 185, 171, ?, 122, 87
Correct Answer :
150
Solution :
To find the missing number in the given series, let us analyze the differences between consecutive terms:
First term to second term:
(which is )
Second term to third term:
(which is )
Following this pattern of subtracting consecutive multiples of 7, the difference between the third and fourth term should be:
Applying this subtraction to the third term:
Let us verify the remaining terms of the series using the same pattern:
Difference between the fourth and fifth term:
(which is )
Difference between the fifth and sixth term:
(which is )
Since the pattern is consistent throughout the series, the missing number that replaces the question mark (?) is 150.
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