1. Find the sum of odd integers from 1 to 2001.
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required sum1+3+5+7+......+2001
the above series is an AP
here,
a=1
d=2
nth term=2001
an=a+(n-1)d
2001=1+(n-1)2
2001=1+2n-2
2001=2n-1
n=1001
hence,
the required sum
Sn =S1001=1001/2(1+2001)=1001/2×2002=(1001)^2=1002001
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