Mar 19, 2024

How about this one:

Pick four consecutive positive integers and square each of them. Take the difference between the largest and smallest, and do the same with the middle two. What is the ratio of the differences?

OK, now prove it!

Mar 19, 2024

How about this one:

Pick four consecutive positive integers and square each of them. Take the difference between the largest and smallest, and do the same with the middle two. What is the ratio of the differences?

OK, now prove it!