In this Grade 8 lesson from Big Ideas Math Algebra 2, Chapter 8, students learn to identify arithmetic sequences by checking for a constant common difference between consecutive terms. They practice writing the nth term rule using the formula aₙ = a₁ + (n−1)d and apply it to find specific terms in a sequence. The lesson also introduces arithmetic series and teaches students how to find the sum of finite arithmetic series using Gauss's pairing method.
Section 1
Arithmetic Sequence
An arithmetic sequence is a sequence where the difference between consecutive terms is always the same.
The difference between consecutive terms, , is , the common difference, for greater than or equal to two.
Section 2
General Term of an Arithmetic Sequence
The general term of an arithmetic sequence with first term and the common difference is
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Section 1
Arithmetic Sequence
An arithmetic sequence is a sequence where the difference between consecutive terms is always the same.
The difference between consecutive terms, , is , the common difference, for greater than or equal to two.
Section 2
General Term of an Arithmetic Sequence
The general term of an arithmetic sequence with first term and the common difference is
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter