- #1

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Provide a simple formula or rule that generates the terms of an integer sequence that begins with :

* 2,4,16,256,65536,...

3. The Attempt at a Solution

I have tried a lot to solve it but i ended up with nothing,although i know that finding a term in the following sequence depends on multiplying the number by itself. For example if i want to get the 3rd term i will multiply the 2nd term by itself (4*4)=16 and same goes to the rest of the sequence,but what about if i want to get the 100th term,of course i won't multiply each term by itself until i reach the needed term,a formula or a rule would be more helpful.

Thanks in advance :)