Find the next number in the following series: 486, 487, 491, 500, 516, ?
541
Check the differences between consecutive terms.
487 - 486 = 1, 491 - 487 = 4, 500 - 491 = 9, 516 - 500 = 16, which are the squares \(1^2, 2^2, 3^2, 4^2\).
The next difference is \(5^2 = 25\).
So the next term is 516 + 25 = 541.
Hence, 541.
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