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Question

If `2^(n - 1) + 2^(n + 1) `= 320, then n is equal to :


Options:
A .  6
B .  8
C .  5
D .  7
Answer: Option D

`2^(n - 1) + 2^(n + 1) =  320    hArr  2^(n - 1) (1 + 2^2) = 320    hArr  5 xx 2^(n - 1)  = 320`

`hArr   2^(n - 1) = 320/5= 64 =  2^6   hArr n- 1 = 6   hArr  n= 7`




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