Remainders and Factors

Determine the relationship of a group of positive integers that has 2 common divisors.


A group of positive integers are divisible by 3 and by 5. When divided by 7, each integer in the group has a remainder of 4. How do each of the terms in the group relate? Write a formula that will predict the nth term in the group.

(Source: Adapted from Mathematics Teaching in the Middle School, Apr 1994).