Consecutive multiples

In this chapter, you find consecutive integers, consecutive even integers, consecutive multiples of fives, and so on. The word problems come in as puzzles to find the first, the middle, or the last in a list of consecutive integers. After an introduction on ways to find the sum of a large number of consecutive numbers, you ll see some interesting applications from seating charts to orchards. 

If n = 4 is what you got, and you want to find three consecutive multiples of 4, then your three integers are 4, 8, and 12. 

Pick a number, and you can make a list of integers that are multiples of that number. You can also make a symbolic list (using math symbols) of integers that are multiples of a number by starting with n and adding the number repeatedly. For example, a list of six consecutive multiples of 7, starting with 63 is 63, 70, 77, 84, 91, 98. Symbolically, a list of any six multiples of 7 is n, n + 7, n + 14, n + 21, n + 28, n + 35. 

The Problem The sum of four consecutive multiples of 5 is 210. What is the largest of the four multiples ... 

The Problem Find the sum of the 20 consecutive multiples of 4 that begin with the number 60. 

---