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Find the Sum of the Odd Numbers Between 0 and 50. - CBSE Class 10 - Mathematics

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Question

Find the sum of the odd numbers between 0 and 50.

Solution

The odd numbers between 0 and 50 are

1, 3, 5, 7, 9 … 49

Therefore, it can be observed that these odd numbers are in an A.P.

a = 1

d = 2

l = 49

l = a + (n − 1) d

49 = 1 + (n − 1)2

48 = 2(n − 1)

n − 1 = 24

n = 25

`S_n = n/2(a+1)`

`S_25 = 25/2(1+49)`

`= (25(50))/2 = (25)(25)`

= 625

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 5: Arithmetic Progressions
Ex. 5.30 | Q: 14 | Page no. 113
Solution Find the Sum of the Odd Numbers Between 0 and 50. Concept: Sum of First n Terms of an AP.
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