CATAlgebra > Medium−5150-5150−5150−5051-5051−5051−5050-5050−5050−5151-5151−5151✅ Correct Option: 3Related questions:CAT 2018 Slot 1Let x,y,zx, y, zx,y,z be three positive real numbers in a geometric progression such that x<y<zx<y<zx<y<z. If 5x,16y5 x, 16 y5x,16y, and 12z12 z12z are in an arithmetic progression then the common ratio of the geometric progression isCAT 2019 Slot 1If a1,a2….a_{1}, a_{2} \ldots .a1,a2….. are in A.P., then, 1a1+a2+1a2+a3+….+1an+an+1\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\ldots .+\frac{1}{\sqrt{a_{n}}+\sqrt{a_{n+1}}}a1+a21+a2+a31+….+an+an+11 is equal toCAT 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 is