Question

$\frac{5^{n+2}-6\times 5^{n+1}}{13\times 5^n-2\times 5^{n+1}}$ is equals to

Answer 1

$\frac{5^{n+2}-6\times 5^{n+1}}{13\times 5^n-2\times 5^{n+1}}$

$=\frac{5^n(5^2-6\times 5)}{5^n(13-2\times 5)}$
$=\frac{25-30}{13-10}$

$=\frac{-5}{3}$
Hence, option (b) is correct.