Question

Please answer this with full solution. If I get correct answer with correct explaination, then I will do giveaway!!​

Answer 1

Answer:

2^(n+2) - 2^(n+1) + 2^n = C × 2^n

Take 2^n common from lhs

2^n(2^2 - 2^1 + 1) = C × 2^n

Divide by 2^n on both sides

2^2 - 2^1 + 1 = C

4 - 2 + 1 = C

Ie. C = 4–2+1 = 3

Hence C = 3

Answer 2

Answer:

2^(n+2) - 2^(n+1) + 2^n = C × 2^n

Take 2^n common from lhs

2^n(2^2 - 2^1 + 1) = C × 2^n

Divide by 2^n on both sides

2^2 - 2^1 + 1 = C

4 - 2 + 1 = C

Ie. C = 4–2+1 = 3

Hence C = 3