If sum of first n terms of an A.P. (having positive terms) is given by S_ n = (1+2 T_ n )…

Mathematics · JEE Main · NTA Exams — Progression and Series

If sum of first n terms of an A.P. (having positive terms) is given by \(S_{n}=\left(1+2 T_{n}\right)\left(1-T_{n}\right)\) where \(T_{n}\) is the n^th term of series, then , then find the value of \((a+b) .\)

1. \(a+b = 2\sqrt{2}+1\)
2. \(a+b = 3\sqrt{2}+2\)
3. \(a+b = 3\sqrt{2}+1\)
4. \(a+b = 2\sqrt{2}+3\)

Answer

(C) a+b = 3 2 +1

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