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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The sum of 5 odd numbers must be odd and 100 is even. So there cannot be such a set.
If you mean sum, then 49 and 51!
49 and 51
The numbers are 45, 47, and 49.
It is not possible for five odd numbers to add up to 50 or any even number.