Look at the table. make a conjecture about the sum of the first 25 positive even numbers.

a)the sum is 25 × 26. b)the sum is 24 × 25. c)the sum is 24 × 24. d)the sum is 25 × 25.

A) The sum is 25 × 26

Step-by-step explanation:

In the attached table we notice a pattern.

For the first positive pair number the sum is

For the first two positive pairs, the sum is

For the first three positive pairs, the sum is .

So:

For the first number of positive pairs, the sum of them is:

If , and then, the sum of the first 25 positive even numbers is:

The correct answer is option A

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.