What is the sum of the first 50 consecutive even numbers?

Answer 1

One way is to imagine all the even numbers written down in a horizontal line. There will be 50 numbers from 2 to 100

Now write the 50 numbers underneath the first row, but in reverse order. If, as you go along the lines of numbers, you add the top one to the bottom you will always get 102

So you have 102 fifty times over. Now 50 times 100 is 5,000 and fifty times 2 is 100, so by adding together we arrive at 3,100 for the answer.