Question

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

Answer 1

Answer:

twenty five numbers odd no

Answer 2

#BAL

To find the sum of all odd numbers between 0 and 50. we will use the concept of arithmetic progression(A.P) .

Let,

sum = 1 + 3 + 5 + 7 + ......+49.

this is an A.P, whose first term(a) = 1 and last term(Tn) = 49.

common difference(d) = 3-1 = 2

Total no. of odd number lie b/w 0 and 50 = n

but,

Tn = a + (n-1)d

or, 49 = 1 + (n-1)2

or, n-1 = 48/2 =24

n = 25

hence

sum = n/2(a + Tn)

sum = 25(1 + 49)/2

sum = 25×50/2 = 25×25

sum = 625