JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of infinite terms of the geometric progression

\frac{\sqrt{2}+1}{\sqrt{2}-1}, \frac{1}{2-\sqrt{2}}, \frac{1}{2} \cdots

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Correct option: A

\sqrt{2}(\sqrt{2}+1)^{2}

Option A (

\sqrt{2}(\sqrt{2}+1)^{2}

) is correct because it is the sum of the infinite geometric progression calculated using the formula

S = a/(1-r)

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