Example 7. Given the following arithmetic sequence, what is the explicit formula? Solution. 10, 16, 22, 28, 34 1. Find the common difference, d. 2. Identify the initial term, a₁. 3. Generate the explicit formula: a = a₁ + (n-1)d The common difference is 6. The initial term is 10. an a₁ = a₁ + (n − 1)d = 10 + (n − 1)6 an
Example 7. Given the following arithmetic sequence, what is the explicit formula? Solution. 10, 16, 22, 28, 34 1. Find the common difference, d. 2. Identify the initial term, a₁. 3. Generate the explicit formula: a = a₁ + (n-1)d The common difference is 6. The initial term is 10. an a₁ = a₁ + (n − 1)d = 10 + (n − 1)6 an
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![Example 7.
Given the following arithmetic sequence, what is the
explicit formula?
Solution.
10, 16, 22, 28, 34
1. Find the common difference, d.
2. Identify the initial term, a₁.
3. Generate the explicit formula: a = a₁ + (n - 1)d
The common difference is 6.
The initial term is 10.
an = a₁ + (n-1)d
an 10+ (n − 1) 6
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdfd9acc-660c-40b6-bfa5-684049622987%2Fbac053a9-a065-487c-a7c9-02ee607a6b56%2Fd17kcwc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 7.
Given the following arithmetic sequence, what is the
explicit formula?
Solution.
10, 16, 22, 28, 34
1. Find the common difference, d.
2. Identify the initial term, a₁.
3. Generate the explicit formula: a = a₁ + (n - 1)d
The common difference is 6.
The initial term is 10.
an = a₁ + (n-1)d
an 10+ (n − 1) 6
=
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