SEQULE

Algebra II

Algebra II

Arithmetic Sequences

Add the same step every time — a line in disguise.

Concept

Constant difference

An arithmetic sequence adds a fixed amount d each term. The nth term is the first term plus (n − 1) steps.

Notice it is just a linear function on the integers: d is the slope, and the first term sets the intercept.

aₙ = a₁ + (n − 1)d