2.5 Arithmetic and Geometric Sequences

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence of numbers in which the ratio between consecutive terms is constant.

Front

What is the common difference in an arithmetic sequence?

Back

The constant amount added to each term to get the next term.

Front

What is the common ratio in a geometric sequence?

Back

The constant factor by which each term is multiplied to get the next term.

Front

Identify the common difference in the sequence: 2, 5, 8, 11, ...

Back

Common Difference: 3

Front

Identify the common ratio in the sequence: 3, 9, 27, 81, ...

Back

Common Ratio: 3

Front

What is the recursive formula for an arithmetic sequence?

Back

a_n = a_(n-1) + d, where d is the common difference.

Front

What is the recursive formula for a geometric sequence?

Back

a_n = r * a_(n-1), where r is the common ratio.

Front

Identify whether the sequence 4, 8, 16, 32, ... is arithmetic or geometric.

Back

Geometric; Common Ratio: 2

Front

Identify whether the sequence 10, 7, 4, 1, ... is arithmetic or geometric.

Back

Arithmetic; Common Difference: -3