Question

Find the sum of all odd integer from 1 to 1001

Answer 1

a is 1
aofn is 1001
aofn is a+nd-d
1001 is 1+n2-2
2n-1 is 1001
n is 501
an

Answer 2

a=1

d=2

1001 is nth term of the a.p.

tn=a+(n-1)d

1001=1+(n-1)2

1001=1+2n-2

1001+1=2n

1002/2=n

501=n

sum=n/2[2a+(n-1)d]

501/2[2+500*2]

501/2*1002

501*501

=251001

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