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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section: Chapter Questions
Problem 326PT: Find the twentieth term of an arithmetic sequence where the first term is two and the common...
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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
=
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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