A) \[1\frac{11}{17}\]
B) \[1\frac{5}{7}\]
C) \[1\frac{6}{17}\]
D) \[1\frac{11}{17}\]
Correct Answer: D
Solution :
\[?=1+\frac{1}{1+\begin{matrix} 2 \\ 2+\begin{matrix} 3 \\ 1+\begin{matrix} 4 \\ 5 \\ \end{matrix} \\ \end{matrix} \\ \end{matrix}}\] \[=1+\frac{1}{1+\begin{matrix} 2 \\ 2+\begin{matrix} 3\times 5 \\ 5+4 \\ \end{matrix} \\ \end{matrix}}=1+\frac{1}{1+\begin{matrix} 2 \\ 2+\begin{matrix} 5 \\ 3 \\ \end{matrix} \\ \end{matrix}}\] \[=1+\frac{1}{1+\begin{matrix} 2\times 3 \\ 6+5 \\ \end{matrix}}=1+\frac{1\times 11}{11+6}=1+\frac{11}{17}=1\frac{11}{17}\]
You need to login to perform this action.
You will be redirected in
3 sec
