Concept explainers
The all sets of three consecutive even integers whose sum is between 25 and 45.
Answer to Problem 6OE
Explanation of Solution
Given:
The given statement is:
The sets of three consecutive even integers whose sum is between 25 and 45.
Calculation:
The solution for the given statement can be obtained by:
The sets of three consecutive even integers whose sum is between 25 and 45.
Let the integers be:
Collect the terms
As n is an even integer,
For n=8, the sum is 8+10+12=30
For n=10 there exists the numbers 10,12,14, where sum=36
For n=12 there exists the numbers 12,14,16, where sum=42
Hence, sets of three consecutive numbers are:
Set1 (8,10,12)
or
Set2 (10,12,14)
or
Set3 (12,14,16).
Chapter 2 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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