POTW #5

A perfect square is any number n x n = n² where n is any natural number. For example, since 6 x 6 = 36, then 36 is a perfect square.

What is the least positive integer m such that 126m is a perfect square?

(Remember:126m means “126 times the number m.”)

Problem of the Week #4

Consider the sequence: 3, 7, 11, 15, 19,...

What would be the next three terms in the sequence? Can you write an algebraic rule to determine any term of the sequence? If so, what would be the 50th term of the sequence?