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Which of the following numbers will replace the question mark (?) in the given series?
140, 141, 133, 160, 96, ?
337
311
221
276
- Let's analyze the given series: 140, 141, 133, 160, 96, ?
- The differences between consecutive numbers are:
- 141 - 140 = 1
- 133 - 141 = -8
- 160 - 133 = 27
- 96 - 160 = -64
- We can see a pattern of alternating differences of +1, -8, +27, and -64.
- This pattern suggests a sequence of increasing powers of numbers and alternating signs.
- The upcoming number should maintain this pattern. After -64, the next power is likely to be +125, as these are cubes of 1, 2, 3, and 4 with alternating signs.
- Therefore, add 125 to 96: 96 + 125 = 221.
- Correct Option: 3, 221
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