Consider $a_{n+1} =\frac{1}{1+\frac{1}{a_{n}}}$ for $n = 1,2, … | XAT 2023 Question Paper

XAT 2023Quantitative AbilityProgressions and SeriesMEDIUM+1 / −0.25

Consider $a_{n+1} =\frac{1}{1+\frac{1}{a_{n}}}$ for $n = 1,2, ....., 2008, 2009$ where $a_{1} = 1$ . Find the value of $a_{1}a_{2} + a_{2}a_{3} + a_{3}a_{4} + ... + a_{2008}a_{2009}$ .

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XAT 2023Quantitative AbilityProgressions and SeriesMEDIUM+1 / −0.25

Consider $a_{n+1} =\frac{1}{1+\frac{1}{a_{n}}}$ for $n = 1,2, ....., 2008, 2009$ where $a_{1} = 1$ . Find the value of $a_{1}a_{2} + a_{2}a_{3} + a_{3}a_{4} + ... + a_{2008}a_{2009}$ .

Select an option to reveal the answer and explanation

Practice the full paper

Attempt XAT 2023 Question Paper with real exam interface and instant grading.

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