Identify the number that should replace the question mark (?) in the sequence given below to complete the pattern.
120, 208, 286, ?, 412, 460
Correct Answer :
354
Solution :
The correct answer is 354.
To find the missing number in the sequence, let us analyze the differences between consecutive terms:
1st difference: 208 - 120 = 88
2nd difference: 286 - 208 = 78
Notice the pattern in the differences: each successive difference decreases by 10.
Following this pattern, the next difference should be:
3rd difference: 78 - 10 = 68
Now, add this difference to the term preceding the question mark (286):
Let us verify the remaining terms using the same decreasing difference pattern:
4th difference: 68 - 10 = 58
Check next term: 354 + 58 = 412 (Matches the given sequence)
5th difference: 58 - 10 = 48
Check final term: 412 + 48 = 460 (Matches the given sequence)
Thus, the number that replaces the question mark (?) is 354.
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