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Question 210028
JEE Mathematics · Hard

Sequences and Series: Vn method MCQ

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Vn methodHardQuestion 210028

Question

Sum of n terms of the series 1/(1×2) + 1/(2×3) + 1/(3×4) + ... is:
  1. A
    n/(n+1)
    Correct
  2. B
    1/n
  3. C
    (n−1)/n
  4. D
    n/(n+2)

Correct answer

n/(n+1)

Explanation

Telescoping: each term = 1/r − 1/(r+1). Sum = 1 − 1/(n+1) = n/(n+1).

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