If S_{r}=\sqrt{r+\sqrt{r+\sqrt{r+\sqrt{. . . . . . \infty}}}, r > 0 then which the following is\/are correct.

{S}_{2}, {S}_{6}, {S}_{12}, {S}_{20} are in {AP}

{S}_{4}, {S}_{9}, {S}_{18} are irrational

(2 S_{4}-1)^{2},(2 S_{5}-1)^{2}(2 S_{6}-1)^{2} are in AP

{S}_{2}, {S}_{12}, {S}_{56} are in GP

JEE Advanced 2020 Concept Recapitulation Test 1 Paper 2

Question : 49 of 54

Marks: +1, -0

If Sr=√r+√r+√r+√......∞,r>0 then which the following is\/are correct.

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