Geometric Sequences

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.

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CCSS.HSF.BF.A.2

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term. It can be found by dividing any term by the previous term.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the nth term of a geometric sequence?

Back

Tags

CCSS.HSF.BF.A.2

Front

What is the explicit formula for a geometric sequence?

Back

Tags

CCSS.HSF.BF.A.2

Front

Given the sequence 2, 6, 18, ..., what is the common ratio?

Back

The common ratio is 3, since each term is multiplied by 3 to get the next term (2 * 3 = 6, 6 * 3 = 18).

Tags

CCSS.HSF.BF.A.2

Front

What are the next three terms in the geometric sequence: 512, 256, 128, ...?

Back

The next three terms are 64, 32, 16.

Tags

CCSS.HSF.BF.A.2

Front

Write the explicit equation for the geometric sequence: 15, 45, 135, ...

Back

Tags

CCSS.HSF.BF.A.2

Front

Write the explicit equation for the geometric sequence: 10, 20, 40, 80, ...

Back

Tags

CCSS.HSF.BF.A.2

Front

What is the zeroth term of the geometric sequence: 125, 25, 5, ...?

Back

The zeroth term is 625.

Tags

CCSS.HSF.BF.A.2

Front

What is the next term of the geometric sequence: 4, 16, 64, ...?

Back

The next term is 256.

Tags

CCSS.HSF.BF.A.2