MathLab with Mr. Ahmed

MathLab with Mr. Ahmed is a math learning website by Ahmed Amasha, a mathematics teacher teaching the American curriculum. Explore Algebra 2, Precalculus, Calculus, and SAT and PSAT Math Prep through lessons, focused practice and printable resources.

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12.2 Arithmetic Sequences

Focus on arithmetic nth term and arithmetic sum.

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Ideas in this lesson

Explore the lesson brief and the worked example for Idea 11. Create a free account to continue with the remaining ideas and practice.

01nth term of an arithmetic sequenceWorked steps · five questions02Partial sums of arithmetic sequencesWorked steps · five questions
Lesson brief and rules

12.2 Arithmetic Sequences

an=a1+(n−1)da_{n}=a_{1}+(n-1)d, where dd is the common difference.

Worked example 11
01 / An arithmetic sequence has a1=3a_{1}=3 and d=5d=5. Find a33.
02 / an=a1+(n−1)d=3+2(5)=13a_{n}=a_{1}+(n-1)d=3+2(5)=13.
03 / Answer: 1313
Worked example 2 · Arithmetic sum

Sum 44 and 1616 and the middle term 1010.

Add the three terms: 3a+3b=303a+3b=30. Answer: 3030

15 questions covering every idea, with a worked answer for each.Start practice ↗
Textbook reference: Stewart, Redlin & Watson, Precalculus: Mathematics for Calculus, 7th ed. (Cengage, 2016). The explanations and practice here are original, organized by textbook section.

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