{3.2n - 4.2(n-2)}/{2n - 2(n+1)} = কত?

{3.2ⁿ - 4.2^(n-2)}/{2ⁿ - 2⁽ⁿ⁺¹⁾} = কত?

A 2^(n+1)

B 2^(n-1)

C -2

D 4

Solution

Correct Answer: Option C

{3.2ⁿ - 4.2^(n-2)}/{2ⁿ - 2⁽ⁿ⁺¹⁾}

= {3.2ⁿ - 2².^₂n-2 }/{2ⁿ - 2ⁿ . 2¹}

= {3.2ⁿ - 2^2+n-2} /{2ⁿ(1-2) }

= {2ⁿ (3-1)}/ {2ⁿ (-1) }

= 2/-1

= -2