Q. 14 4.7( 99 Votes )

Find the sum of the odd numbers between 0 and 50

Answer :

To Find: Sum of odd numbers from 0 and 50

Let us write these numbers

1, 3, 5, ,................, 49

As we can clearly see this forms an AP with first term, a = 1 and common difference, d = 2 and nth term, an = 49

Now, 

first we need to find number of terms,

for that we have the formula of nth terms of an AP given by

an = a + (n - 1) d

Putting the values we get

49 = 1 + (n - 1) 2

48 = (n - 1) 2

(n - 1) = 24

n = 25

So there are 25 odd numbers between 0 and 50

And sum of these 25 numbers are given by using sum of n terms of an AP

 
So, the sum of odd numbers between 0 and 50 is 625.

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