Arithmetic and Geometric Sequences - Spring Break

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 each term to get the next term in a geometric sequence.

Front

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

Back

Front

What is the next term of the geometric sequence 5, -15, 45, -135, 405...?

Back

The next term is -1215.

Front

What characterizes a geometric sequence?

Back

A geometric sequence is characterized by a pattern created by multiplying by a common ratio.

Front

For the geometric sequence -3, 15, -75, what is the common ratio?

Back

The common ratio is 5.

Front

How do you find the common ratio of a geometric sequence?

Back

To find the common ratio, divide any term by the previous term.

Front

What is the first term of the geometric sequence 2, 6, 18, 54...?

Back

The first term is 2.

Front

If the first term of a geometric sequence is 4 and the common ratio is 3, what is the 4th term?

Back

The 4th term is 108.

Front

What is the sum of the first n terms of a geometric sequence?

Back