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Find the sum of odd integers from 1 to ...

Find the sum of odd integers from 1 to 2001.

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The correct Answer is:
N/a
Odd numbers from 1 to 2001 1+ 3 + 5 + … + 2001
`"It is an A.P."`
`"Hera "a=1, d=3-1=5-3=2`
`"Let "T_(n)=2001`
`rArr" "a+(n-1)cdotd=2001`
`rArr" "1+(n1)cdot2=2001`
`rArr" "n=1001`
Now, sum of 1001 numbers
`S_(n)=(n)/(2)(a+l)`
`=(1001)/(2)(1+2001)`
`=1001xx1001`
`=1002001`
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