What is the next number in this series?
6, 14, 36, 98, 276, ?
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June 2nd, 2014 | Category: 
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802?
Sorry Dr., wrong. I don’t understand the math behind the correct answer, but this is the key to finding the answer: The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.
812
Sorry, Anuj you are not there yet. This is a mathematical brain bender for sure. Here is the final hint:
The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.
Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,
the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,
and so on.
794
Brent you are right again and today’s winner!
794 The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n. Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6, the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14, and so on.
The sixth term is then 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.