Question
Sat February 16, 2013 By: Gayathri

What is next term of the series 2^1/2,4^1/4,8^1/16 and so on..

Expert Reply
Mon February 18, 2013
First look at the series 2, 4, 8, ...
These are the powers of 2, increasing by 1.
So, the next term will be 24 = 16
 
Now, loosk at the series 2, 4, 16, ...
Every next number is the square of previous one.
So, the next term will be 162 = 256
 
Hence, the required next term of the given series is 16^1/256.
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