Question

find the sum of the all odd number between 0 and 60
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Answer 1

The first odd no between 0 to 60 is 1.

The last odd no between 0 to 60 is 59.

AP:1,3,5...........59.

(first term) a=1

(Common difference) d=1

an = 59

Now an=a+(n-1)d

59=1+(n-1)1

59-1=1n-1

58=1n-1

59=1n

n=59/1

n=59

Now sum of 59 terms

S59=n/2(2a+(n-1)d)

= 59/2(2(1)+58(1))

= 59/2 (2+58)

= 59/2 (60)

= 59 x 30

= 1770

Hence the sum of odd number between 0 to 60 is 1770.

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