Question

Solve:

$\frac{{2.3}^{n+1}+{7.3}^{n-1}}{3^{n+2}-2{\left(\frac{1}{3}\right)}^{1-n}}$

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is B $1$

We have,

$\frac{{2.3}^{n+1}+{7.3}^{n-1}}{3^{n+2}-2{\left(\frac{1}{3}\right)}^{1-n}}$

$\Rightarrow \frac{{6.3}^n+\frac{7}{3}{.3}^n}{{9.3}^n-\frac{2}{3}.3^n}$

$\Rightarrow \frac{{18.3}^n+{7.3}^n}{{27.3}^n-2.3^n}$

$\Rightarrow \frac{{25.3}^n}{{25.3}^n}$

$\Rightarrow 1$

Hence, this is the answer.