Arithmetic & Geometric Sequence Practice

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 the common difference in the sequence: 25, 13, 1, -11, ...?

Back

-12

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 ratio in a geometric sequence?

Back

The common ratio is the factor by which we multiply to get from one term to the next in a geometric sequence.

Front

Identify if the sequence is arithmetic, geometric, or neither: 4, 9, 14, 19, ...

Back

Arithmetic

Front

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

Back

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

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

Front

Find the 5th term (a_5) of the arithmetic sequence: 2, 5, 8, 11, ...

Back

14

Front

Find the 5th term (a_5) of the geometric sequence: 3, 6, 12, 24, ...

Back

192

Front

What is the common difference in the sequence: 10, 7, 4, 1, ...?

Back

-3