Tyson was working with square numbers. He noticed a pattern for squaring consecutive

Question

numbers that end in 5.
52 152 252 352
25 225 625 1225
a. Identify a pattern in the table.
b. Make a conjecture based on the pattern identified.
c. Test the conjecture.
d. Explain whether or not the conjecture will always work

Answer 1

the differences are 200, 400, 600, ...
So work with that