Suppose p is the greatest of five consecutive numbers. Describe the other four numbers in terms of p.
Given: p is the greatest of five consecutive numbers.
Rule: Consecutive numbers differ by 1.
Solution: Counting backwards from p: p-1 (next smaller) p-2 p-3 p-4 (smallest)
∴ The five consecutive numbers are p-4, p-3, p-2, p-1, and p.
Explanation
The chapter explains that consecutive numbers differ by 1. If p is the greatest, counting backwards: the next smaller number is p-1, then p-2, p-3, and finally p-4 as the smallest. So the five consecutive numbers are p-4, p-3, p-2, p-1, and p.
Solution Steps
Recognize that consecutive numbers differ by 1.
Since p is the greatest, count backwards by subtracting 1 each time.
The other four numbers are p-1, p-2, p-3, and p-4.
All five consecutive numbers are p-4, p-3, p-2, p-1, and p.