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

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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= \(\frac{n}{2}\)(a + l)

S25 = \(\frac{25}{2}\)(1 + 49)

\(\frac{25\times50}{2}\)

= 625

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