Question

If 2^n+2-2^n+1+2^n= c×2^n,find the value of c

Answer 1

${2}^{n} + 2 - 2 {}^{n} + 1 + 2 {}^{n } = 2 {}^{n } \times c \\ now \: we \: have \\ 3 + 2 {}^{n =} = 2 {}^{n} \times c \\ let \: 2 {}^{n } = a \\ so \: we \: have \: \\ 3 + a = ac \\ 3 + a \div a = c \: \\ put \: the \: value \: of \: a \: you \: get \\ 3 + 2 {}^{n } \div 2 {}^{n } = c$

Answer 2

Answer:

2

n

+2−2

n

+1+2

n

=2

n

×c

nowwehave

3+2

n=

=2

n

×c

let2

n

=a

sowehave

3+a=ac

3+a÷a=c

putthevalueofayouget

3+2

n

÷2

n

=c