Arithmetic and Geometric Sequences Retake

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

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

Back

The common difference is 3.

Front

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

Back

The common ratio is 3.

Front

What is the nth term formula for an arithmetic sequence?

Back

The nth term is given by a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the nth term formula for a geometric sequence?

Back

The nth term is given by a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

Determine if the sequence 4, 8, 16, 32 is arithmetic or geometric.

Back

It is a geometric sequence with a common ratio of 2.

Front

What is the next term in the arithmetic sequence: 10, 15, 20, ...?

Back

The next term is 25.

Front

What is the next term in the geometric sequence: 5, 25, 125, ...?

Back

The next term is 625.

Front

True or False: The sequence 1, 2, 4, 8 is an arithmetic sequence.

Back

False.