Arithmetic and Geometric Sequences & Series

Front

What is a sequence?

Back

An ordered list of numbers where each number is called a term.

Front

What are the two main types of sequences?

Back

Arithmetic and geometric.

Front

What is the common difference in an arithmetic sequence?

Back

The constant value that terms differ by.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

What is the 10th term when a₁ = 3 and d = 4?

Back

39.

Front

What is an arithmetic series?

Back

The sum of terms in an arithmetic sequence.

Front

What is the formula for the sum of the first n terms in an arithmetic series?

Back

Front

What is the common ratio in a geometric sequence?

Back

The constant ratio that terms differ by.

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a₁ r ^(n-1)

Front

What is the 5th term when a₁ = 2 and r = 2?

Back

32.