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.
The other four numbers are:
These form a sequence where each number is one less than the previous, starting from down to .
Answer: The other four numbers are , , , and .
Explanation
The chapter explains consecutive numbers as numbers that follow each other in order without gaps. If p is the greatest (largest) of five consecutive numbers, then counting backwards: the second largest is p−1, the third is p−2, the fourth is p−3, and the smallest is p−4. For example, if p = 10, the five consecutive numbers are 6, 7, 8, 9, 10, which can be written as p−4, p−3, p−2, p−1, p.
Solution Steps
Identify p as the greatest of the five consecutive numbers.
Determine the second largest number as p - 1.
Determine the third largest number as p - 2.
Determine the fourth largest number as p - 3.
Determine the smallest number as p - 4.