Concept explainers
(a)
List the five terms
(a)
Answer to Problem 24PPS
The first five terms of arithmetic sequence are − 3, − 1, 1, 3 and 5.
Explanation of Solution
Given:
The points on the graph are (1, − 3); (2, − 1); (3, 1); (4, 3); (5, 5)
Concept Used:
The points on the graph are (1, − 3); (2, − 1); (3, 1); (4, 3); (5, 5).
Because the terms are the second coordinate (y − coordinate) in each coordinate pair.
The terms of arithmetic sequence are − 3, − 1, 1, 3 and 5.
Calculation:
The points on the graph are (1, − 3); (2, − 1); (3, 1); (4, 3); (5, 5)
The first five terms of arithmetic sequence are − 3, − 1, 1, 3 and 5.
Thus, the first five terms of arithmetic sequence are − 3, − 1, 1, 3 and 5.
(b)
Write the formula for the nth term.
(b)
Answer to Problem 24PPS
Explanation of Solution
Given:
The points on the graph are (1, − 3); (2, − 1); (3, 1); (4, 3); (5, 5)
Concept Used:
The first five terms of arithmetic sequence are − 3, − 1, 1, 3 and 5.
Find the common difference and find the nth term of the sequence.
Calculation:
Find the common difference:
Write the equation for the nth terms of an arithmetic sequence by using the first term − 3 and common difference 2.
So, the formula for the nth terms of the arithmetic sequence is
Thus, the formula for the nth terms of the arithmetic sequence is
(c)
Write the function.
(c)
Answer to Problem 24PPS
Explanation of Solution
Given:
The points on the graph are (1, − 3); (2, − 1); (3, 1); (4, 3); (5, 5)
Concept Used:
The first five terms of arithmetic sequence are − 3, − 1, 1, 3 and 5.
The nth terms of the arithmetic sequence is
Formula for the nth term of the sequence is the function.
Thus, the function is
Chapter 3 Solutions
Algebra 1
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