Consider a sequence of numbers a1, a2, a3, ⋯, an where an = \(\frac{1}{n} -…

GATE · 2018 · CE · Set 1 · General Aptitude

Consider a sequence of numbers a1, a2, a3, ⋯, an where an = 1n−1n+2\frac{1}{n} - \frac{1}{n+2}, for each integer n > 0. What is the sum of the first 50 terms?

  1. A.

    (1+12)−150\left(1+\frac{1}{2}\right)-\frac{1}{50}

  2. B.

    (1+12)+150\left(1+\frac{1}{2}\right)+\frac{1}{50}

  3. C.

    (1+12)−(151+152)\left(1+\frac{1}{2}\right)-\left(\frac{1}{51}+\frac{1}{52}\right)

  4. D.

    1−(151+152)1-\left(\frac{1}{51}+\frac{1}{52}\right)

Attempted by 1 students.

Sign up free to check your answer

Sign up free

Explore the full course: Aptitude For Gate

Loading lesson…