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Question

Mathematics Question on complex numbers

The sum of odd integers from 11 to 20012001 is

A

(1121)2(1121)^2

B

(1101)2(1101)^2

C

(1001)2(1001)^2

D

(1021)2(1021)^2

Answer

(1001)2(1001)^2

Explanation

Solution

1+3+5++20011+3+5+\ldots+2001 Sum of odd integers =n2=(1001)2=n^{2}=(1001)^{2}