SOLUTION: If n is a positive integer, and 2^n + 2^n+1 = k, what is 2^n+2 in terms of k?

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Question 1189912: If n is a positive integer, and 2^n + 2^n+1 = k, what is 2^n+2 in terms of k?
Answer by ikleyn(52776) About Me  (Show Source):
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If n is a positive integer, and 2^n + 2^(n+1) = k, what is 2^n+2 in terms of k?
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If 2%5En+%2B+2%5E%28n%2B1%29 = k, it means that


    2%5En+%2B+2%2A2%5En = k

or

    3%2A2%5En = k

    2%5En = k%2F3.


Hence,  2%5E%28n%2B2%29 = 4%2A2%5En = %284%2F3%29k.    ANSWER

Solved.