1,4,15,64,325,?
Solution
This sequence appears to follow a pattern where each term is one less than a perfect square or a perfect cube.
1 is 2^0 - 1 4 is 2^2 - 1 15 is 2^4 - 1 64 is 4^3 - 1 325 is 6^3 - 1
Following this pattern, the next term should be one less than the next perfect square or cube. The next number in the sequence of squares and cubes is 8^3 or 512.
So, the next term in the sequence should be 512 - 1 = 511.
Therefore, the missing number in the sequence is 511.
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