Directions: Determine the number that should replace the question mark (?) in the following sequence.
327, 259, 199, 147, 103, 67, ?
Correct Answer :
39
Solution :
The correct answer is 39.
To find the missing number in the given sequence, let us analyze the pattern by calculating the difference between consecutive terms:
Notice the sequence of differences obtained between consecutive terms:
68, 60, 52, 44, 36
Now, let us examine the pattern in these differences by calculating the change from one difference to the next:
The differences are consistently decreasing by 8 at each step. Therefore, the next difference to subtract from 67 is:
Subtracting 28 from the last term (67) gives the missing value:
Thus, the number that should replace the question mark (?) is 39.
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