If the sum of the first 20 consecutive positive odd numbers is divided by 20^2, the result is:

A. 1
B. 20
C. 2
D. 1/2

Question

If the sum of the first 20 consecutive positive odd numbers is divided by 20^2, the result is:

A. 1
B. 20
C. 2
D. 1/2

Accepted Answer

The result is 1. Answer: A. 1. The first n consecutive positive odd numbers are 1, 3, 5, ..., (2n-1). Their sum equals n^2. Here n = 20, so the sum is 20^2 = 400. Dividing by 20^2 = 400 gives exactly 1.

If the sum of the first 20 consecutive positive odd numbers is divided by 20^2, the result is: A. 1 B. 20 C. 2 D. 1/2