What should come in place of the question mark (?) in the given series?
456 457 455 456 454 455 453 ?
Correct Answer :
454
Solution :
The correct option is 454.
To find the missing number in the given series, let us observe the pattern formed by consecutive terms:
1st term = 456
2nd term = 456 + 1 = 457
3rd term = 457 - 2 = 455
4th term = 455 + 1 = 456
5th term = 456 - 2 = 454
6th term = 454 + 1 = 455
7th term = 455 - 2 = 453
The operations alternate between adding 1 (+1) and subtracting 2 (-2).
Following this alternating pattern, the next operation after subtracting 2 must be adding 1 (+1):
8th term = 453 + 1 = 454
Alternatively, we can also look at two alternating sub-series:
Series 1 (odd positions): 456, 455, 454, 453 (decreasing by 1 each step)
Series 2 (even positions): 457, 456, 455, ? (decreasing by 1 each step)
Thus, the missing number in the 8th position (an even position) is:
Hence, the number that comes in place of the question mark (?) is 454.
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