CAT 2021 Exam Question Papers Slot 1 | CAT Quants
CAT Quantitative Aptitude | CAT 2021 Question Papers
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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:
If x0= 1 and x1 =2 and xn+2 =
, n = 0, 1, 2, 3, 4, …, then the value of x2021 is equal to
Explanation
X0 = 1, x1 = 2,
Next, applying the formula xn+2 = and taking n = 1, 2, etc. we get
X2 = 
= 3, x3 = 
= 2, x4 = 
= 1,
X5 = 
= 1, x6 = = 2, x7 = = 3, x8 = = 2, x9 = = 1
It can be seen that value of xn repeats after every five terms, starting from x0. The values from x0 to x4repeating are 1,2, 3, 2, 1 and then from x5 values repeat
Thus, x2020 = 1 and x2021 = 2
Ans(3)