Geometric Sequences Intro

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

Find the next term: 2, 6, 18, ...

Back

54

Front

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

Back

Front

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

Back

The 4th term is 192.

Front

What is the next term in the geometric sequence: 1, 3, 9, ...?

Back

27

Front

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

Back

Front

What is the next term in the geometric sequence: 8, 24, 72, ...?

Back

216

Front

What is the zero term of the geometric sequence: 5, 15, 45, ...?

Back

1.

Front

If a geometric sequence has a common ratio of 1/2 and the first term is 16, what is the 5th term?

Back

The 5th term is 1.