CATAlgebra > Hard191919161616171717181818✅ Correct Option: 1Related questions:CAT 2021 Slot 1If x0=1,x1=2\mathrm{x}_{0}=1, \mathrm{x}_{1}=2x0=1,x1=2, and xn+2=1+xn+1xn,n=0,1,2,3……\mathrm{x}_{\mathrm{n}+2}=\frac{1+x_{n+1}}{x_{n}}, n=0,1,2,3 \ldots \ldotsxn+2=xn1+xn+1,n=0,1,2,3……., then x2021x_{2021}x2021 isCAT 2022 Slot 3The average of all 3-digit terms in the arithmetic progression 38,55,72,…38, 55, 72, \dots38,55,72,…, isCAT 2021 Slot 3If n is a positive integer such that (107)(107)2…(107)n>999(\sqrt[7]{10})(\sqrt[7]{10})^{2} \ldots(\sqrt[7]{10})^{n}>999(710)(710)2…(710)n>999, then the smallest value of n is