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Advanced Math/nth Series formula

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Expert: - 6/21/2008


Question
,4,16,256...........please let me know how to find the nth term of this series.
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is there any general formula for this......



and also let me know can we derive this formula in exponents/logarithms"  

Answer
4 = 2^2
16 = 4^2 = 2^4
256 = 16^2 = 2^8

Each term is the square of the one before.
This means that when you write the terms as powers of 2 , you keep doubling the exponent.So the exponent is a power of 2 as well.

The nth term in the sequence is 2^2^n  

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