Question:

The sum of odd integers from $1$ to $2001$ is

Updated On: Jun 8, 2024
  • $(1121)^2$
  • $(1101)^2$
  • $(1001)^2$
  • $(1021)^2$
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The Correct Option is C

Solution and Explanation

$1+3+5+\ldots+2001$ Sum of odd integers $=n^{2}=(1001)^{2}$
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Concepts Used:

Complex Number

A Complex Number is written in the form

a + ib

where,

  • “a” is a real number
  • “b” is an imaginary number

The Complex Number consists of a symbol “i” which satisfies the condition i^2 = −1. Complex Numbers are mentioned as the extension of one-dimensional number lines. In a complex plane, a Complex Number indicated as a + bi is usually represented in the form of the point (a, b). We have to pay attention that a Complex Number with absolutely no real part, such as – i, -5i, etc, is called purely imaginary. Also, a Complex Number with perfectly no imaginary part is known as a real number.