The ninth term!

Number Theory Level pending

Observe this series carefully!

2,18,192,2500,..

Now its simple, just calculate the 9th term of the series above!


The answer is 9000000000.

Prateek Mehra by Prateek Mehra , 22, India

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1 solution

Prateek Mehra
Jan 22, 2015

It's simple!

To calculate the nth term just do:

n*[(n+1)^n]

2 Helpful 0 Interesting 0 Brilliant 0 Confused

This is, by no means the only solution. If you assume a polynomial function (among others) for simplicity on the lines of f(x)=ax^3 + bx^2 + cx+d , and successively equate f(1)=2, f(2)=18 and so on, it gives the answer as 115210.

Tamojit Maiti - 6 years, 4 months ago

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