A) \[\frac{21}{13}\]
B) \[\frac{17}{3}\]
C) \[\frac{34}{21}\]
D) \[\frac{8}{5}\]
Correct Answer: C
Solution :
Expression \[=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{\frac{3+2}{3}}}}}\] \[=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{3}{5}}}}\] \[=1+\frac{1}{1+\frac{1}{1+\frac{5+3}{5}}}\] \[=1+\frac{1}{1+\frac{1}{1+\frac{5}{8}}}=1+\frac{1}{1+\frac{1}{\frac{8+5}{8}}}\] \[=1+\frac{13}{21}=\frac{21+13}{21}=\frac{34}{21}\]
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