Question

which option is correct in the above figure

Answer 1

Answer:

$\boxed{\bf{OPTION\:\:D}\:\:\frac{1}{3}}$

Step-by-step explanation:

$\frac{5\times 3^(n+1)-4\times 3^n}{5\times 3^(n+2)-4\times 3^(n+1)}$

$\implies \frac{5\times 3^n\times 3^1 - 4\times 3^n}{5\times 3^n\times 3^2 - 4\times 3^n \times 3^1}$

$\implies \frac{ 3^n(5\times 3 - 4)}{3^n(3^2\times 5 - 12)}$

$\implies \frac{15-4}{45-12}$

$\implies \frac{11}{33}$

$\implies \frac{1}{3}$

Hope it helps you

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