A) \[1\frac{11}{17}\]
B) \[1\frac{5}{7}\]
C) \[1\frac{6}{17}\]
D) \[1\frac{11}{17}\]
Correct Answer: D
Solution :
\[?=1+\frac{1}{1+\frac{2}{2+\frac{3}{1+\frac{4}{5}}}}\] \[=1+\frac{1}{1+\frac{2}{2+\frac{3\times 5}{5+4}}}=1+\frac{1}{1+\frac{2}{2+\frac{5}{3}}}\] \[=1+\frac{1}{1+\frac{2\times 3}{6+5}}=1+\frac{1\times 11}{11+6}=1+\frac{11}{17}=1\frac{11}{17}\]
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