Arithmetic and Geometric Sequences Review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that is added to each term to get the next term in an arithmetic sequence.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the constant factor by which each term in a geometric sequence is multiplied to get the next term.

Front

Find the next term in the arithmetic sequence: 2, 5, 8, 11.

Back

The next term is 14.

Front

Find the next term in the geometric sequence: 3, 6, 12, 24.

Back

The next term is 48.

Front

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

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

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

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

Identify the sequence type: 4, 7, 10, 13.

Back

This is an arithmetic sequence.

Front

Identify the sequence type: 5, 15, 45, 135.

Back

This is a geometric sequence.