Question

2^n-1 + 2^n+1 = 320, value of n?

Answer 1

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ANS


= 2^n-1+2^n+1=320 2 ^ n)(2^-1 +2^+1 )= 320 2^n ( 1/2 + 2) = 320 2 ^n ( 5/2) = 320 2^n = 320*2/5 2^n=64*2 2^n=128 2^n=2^7 thus, n = 7