1982

JEE Main 1982 Mathematics question on Sequences and Series

If x1,x2,…,xnx_1, x_2, \ldots, x_n are any real numbers and nn is any positive integer, then
  1. A.
    n∑i=1nxi2<(∑i=1nxi)2n\sum_{i=1}^{n} x_i^2 < \left(\sum_{i=1}^{n} x_i\right)^2
  2. B.
    n∑i=1nxi2≥(∑i=1nxi)2n\sum_{i=1}^{n} x_i^2 \geq \left(\sum_{i=1}^{n} x_i\right)^2
  3. C.
    n∑i=1nxi2≥n(∑i=1nxi)2n\sum_{i=1}^{n} x_i^2 \geq n\left(\sum_{i=1}^{n} x_i\right)^2
  4. D.
    None of these
Show answer

Correct option: B

[1982]

Practise Sequences and Series the way it is asked

A timed set of real JEE Main Sequences and Series questions, graded as the exam grades. No sign-up.

Start a Sequences and Series test

More: all JEE Main Sequences and Series questions · JEE Main 1982 · Mathematics chapter list