| The value of \[1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}}\]is [SCC (CGL) 2011] |
A) \[\frac{21}{13}\]
B) \[\frac{17}{3}\]
C) \[\frac{34}{21}\]
D) \[\frac{8}{5}\]
Correct Answer: A
Solution :
| \[1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}}=1+\frac{1}{1+\frac{1}{1+\frac{3}{5}}}\] |
| \[=1+\frac{1}{1+\frac{5}{8}}=1+\frac{8}{13}=\frac{21}{13}\] |
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