Concept explainers
Find the terms of the arithmetic sequence
Answer to Problem 56HP
The three terms of the arithmetic sequence are:
Explanation of Solution
Given:
The sum of three consecutive terms of an arithmetic sequence is 6. The product of the terms is − 42. Find the terms.
Concept Used:
Condition 1: Sum of three terms of an arithmetic sequence is 6.
Condition 2: The product of the terms is − 42.
Let the three consecutive terms of an arithmetic sequence are:
Equation 1:
Equation 2:
Calculation:
Condition 1: Sum of three terms of an arithmetic sequence is 6.
Condition 2: The product of the terms is − 42.
Let the three consecutive terms of an arithmetic sequence are:
Equation 1:
Equation 2:
From equation no 1:
Equation no 2:
The three terms of the series:
The three terms of the arithmetic sequence are:
Thus, the three terms of the arithmetic sequence are:
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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