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The given series is: 1, 3, 5, 7, 9,... 49. The series is an Arithmetic Progression because the difference between any two consecutive terms is 2(a constant).

In this A.P. first term(a) = 1, last term(l) = 49 and common difference(d) = 2.

nth term of an A.P. is given by an = a + (n-1)d

49 = 1 + (n-1)x2

48 = (n-1)x2

n-1 = 24

n = 25

So there are 25 terms in this A.P.

Sum of n terms of an AP is given by:

Sn = n/2 x (a + l)

S25 = 25/2 x (1 + 49)

S25 = 25/2 x 50

S25 = 25 x 25

S25 = 625.

So sum of odd numbers from 1 to 49 is 625.

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Q: What is the sum of all the odd numbers from 1 to 49?
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