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Select the number from among the given options that can replace the question mark (?) in the following series.
578, 577, 568, 543, ?
528
518
532
494
To identify the correct number that completes the series, let's break down the sequence:
- 578 to 577: A decrease of 1.
- 577 to 568: A decrease of 9.
- 568 to 543: A decrease of 25.
Notice the pattern of decreases:
- 1 (1^2)
- 9 (3^2)
- 25 (5^2)
It seems the decreases are following a pattern of consecutive odd squares (1^2, 3^2, 5^2).
- The next decrease should be the next odd square: 7^2, which is 49.
Now, subtract 49 from 543:
- 543 - 49 = 494.
So, the number that should replace the question mark is 494.
- 528: Incorrect decrease pattern.
- 518: Incorrect decrease pattern.
- 532: Incorrect decrease pattern.
- 494: Follows the predicted pattern correctly.
.
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