CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like **Speed-time-distance**, **Mixture and Alligations**. This year, there was a surprise. The questions from **Geometry** were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 22 : If x_{0} = 1, x_{1} = 2, and x_{n + 2} = \\frac{1+x_{n+1}}{x_{n}}), n = 0, 1, 2, 3,..., then x_{2021} is equal to?

- 4
- 3
- 1
- 2

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Given that, x_{n + 2} = \\frac{1+x_{n+1}}{x_{n}})

x_{0} = 1

x_{1} = 2,

x_{2} = \\frac{1+x_{1}}{x_{0}}) = \\frac{1+2}{1}) = 3

x_{3} = 2,

x_{4}= 1,

x_{5}= 1, x_{6}= 2, x_{7}= 3, x_{8}= 2, x_{9}= 1

The sequence is going on steps of 5.

Hence, x_{2021} = 2

The question is **" If x _{0} = 1, x_{1} = 2, and x_{n + 2} = \\frac{1+x_{n+1}}{x_{n}}), n = 0, 1, 2, 3,..., then x_{2021} is equal to? " **

Choice D is the correct answer.

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