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Question

Find the sum of odd integer from 1 and 2001.

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Solution

The series of odd integers from 1 to 2001 is,

1,3,5,7..............,2001

a=1

d=31=2

l=2001

an=a+(n1)d

2001=1+(n1)2

2000=2(n1)

n=1001

Sn=n2[a+l]

=10012[1+2001]

=10,02,001

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