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. This difference is called the common difference.

Front

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

Back

The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

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 formula for the nth term of a geometric sequence?

Back

The formula for the nth term of a geometric sequence is a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

Find the next term in the sequence: 100, 65, 30, -5...

Back

-40

Front

What are the first 4 terms of an arithmetic sequence with a common difference of -6 if the first term is 76?

Back

76, 70, 64, 58

Front

Identify the common difference in the arithmetic sequence: 5, 8, 11, 14...

Back

The common difference is 3.

Front

Identify the common ratio in the geometric sequence: 3, 6, 12, 24...

Back

The common ratio is 2.

Front

What are the first three terms of the sequence defined by a_n = 7 + (n - 1)5?

Back

7, 12, 17

Front

Which of the following is a geometric sequence? -1, 6, -36, 216... or 2, 4, 6, 8...?

Back

-1, 6, -36, 216... is a geometric sequence.