Find the next number in the series. 1, 2, 9, 28, 65, _________.
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The solution to the problem is as follows
If we subtract 1 from each given term we get the result as follows
2-1=1 9-1=8 28-1=27 65-1=64
Hence as we can see that the results obtained from the subtraction are perfect squares of numbers 1, 2, 3 and 4.
Hence series formed by the following equation is n^3 + 1.
Now since we have the first four terms are next term for the series would be when n=5
Therefore, the term is 5^3 + 1 = 125+1 = 126
2-1=1 9-1=8 28-1=27 65-1=64
Hence as we can see that the results obtained from the subtraction are perfect squares of numbers 1, 2, 3 and 4.
Hence series formed by the following equation is n^3 + 1.
Now since we have the first four terms are next term for the series would be when n=5
Therefore, the term is 5^3 + 1 = 125+1 = 126
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