APPSC Group-I Prelims 2019 Paper II · Question 28

Question 28 of the APPSC Group-I Prelims 2019 Paper II (26 May 2019). Try it first, then open the answer and explanation.

1. Prelims 2019 · P-II · Q28 · Mental Ability & Reasoning · Numbers & Series

   The value of 1/(1+√2) + 1/(√2+√3) + 1/(√3+√4) + ... + 1/(√15+√16)

   విలువ కనిపెట్టండి 1/(1+√2) + 1/(√2+√3) + 1/(√3+√4) + ... + 1/(√15+√16)

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   Answer: 3

   సమాధానం: 3

   Rationalising each term, 1/(√n + √(n+1)) = √(n+1) − √n. The sum telescopes to √16 − √1 = 4 − 1 = 3.

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