Question

Find
thesum
of all odd positive

integers
lers
te
450.​

Answer 1

Step-by-step explanation:

Odd positive integers= 1, 3, 5, 7,..., 445, 447, 449.

This forms an AP with

first term, a = 1

last term, l = 449

common difference, d = 2

Now, l = a + (n-1)×d

449 = 1 + (n-1)(2)

449 = 1 + 2n - 2

2n = 450

n = 225

Sum of AP = n/2 × (a+l)

= 225/2 × (1 + 449)

= 225/2 × 450

= 225 × 225

= 50624