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

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

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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

Concept: Sum of First n Terms of an AP
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.6 | Q 50.1 | Page 53
NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.3 | Q 14 | Page 113
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