Question

Find sum of all natural odd number less than 50

Answer 1

Hey there !!!!!!

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Odd natural numbers are of the form 2n+1 where n=0,1,2,.............

Odd natural numbers less than 50

=1,3,5,7,................45,47,49

Arithmetic series of odd natural numbers is formed with common difference between the terms=2 and number of terms=25
Series starts with "1" and ends with "49"

Sum of n terms of an Arithmetic Progression = n(2a+(n-1)d)/2

n=25  a=1  d=2

Sum =25(2+(25-1)*2)/2

        =25(2+24*2)/2

       =25*50/2=25*25=625

 
                     ~~~~~~~~OR~~~~~~~~

Sum of n terms of an Arithmetic Progression= n*(first term + last term)/2

first term=1 last term=49

Sum = 25*(1+49)/2=25*50/2=625

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Hope this helped you..............

Answer 2

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