Question

Please answer as fast as possible !!!​

Answer 1

Hello !!

In this question, we need simplify the expression.

[16 × 2^(n + 1) - 4 × 2^(n)]/[16 × 2^(n + 2) - 2 × 2^(n + 2)]

= 1 × 2^((n + 1) - (n + 2)) + 2 × 2^((n) - (n + 2))

= 2^(-1) + 2 × 2^((n) - (n + 2))

= 2^(-1) + 2 × 2^(-2)

= 1/2 + 2 × 1/4

= 1/2 + 2/4

= 1/2 + 1/2

= (2 + 2)/(2 × 2)

= 4/4

= 1

Final result : 1 alternative A).

I hope I have collaborated and have a great day !