Geometric Sequences

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.A.2, HSF.LE.A.2

Standards-aligned

Tina Kelly

Used 15+ times

FREE Resource

4 Slides • 11 Questions

Writing Geometric Sequences

By Jala Hawkins

F.IF.3: I can identify, write, and create geometric sequences.

uses multiplication / division
common ratio
exponential functions

Geometric (Unit 4)

uses addition/subtraction
common difference
linear functions

Arithmetic (Unit 2)

Arithmetic vs Geometric Sequences

Make sure you know the key differences

Fill in the Blanks

A sequence that has a common difference

Type answer...

Fill in the Blanks

A sequence that has a common ratio

Type answer...

How to find common ratio?

3, 6 , 12, 24, 48, ...

Ask yourself: What are they multiplying by each time to get to the next number? 3 * _ = 6??

Take one number and divide it by the one before it! example: 24/12

Both ways get us a common ratio of

Multiple Choice

What is the common ratio?

-2

Not enough information

Multiple Choice

What is the common ratio?

-5

Not enough information

Multiple Choice

Find the common ratio for the geometric sequence.

-2

1/2

-1/2

Multiple Choice

What is a₅?

-1875

-550

-1055

Not enough information

Multiple Choice

What is a₅ ?

-64

-24

-32

Not enough information

Explicit:

We only need to find a₁(first term) and r(common ratio)

How to write formulas for geometric sequences

Some text here about the topic of discussion

Multiple Choice

What is the explicit expression that represents how many strings are included based on the number of steps?

$\frac{1}{2}n+2$

$-n+2$

$\frac{1}{2}n$

$4\left(\frac{1}{2}\right)^n$

Multiple Choice

Write the explicit formula for the geometric sequence.

a_n = 10(2)^n-1

a_n = 2(10)^n-1

a_n = 10(2)ⁿ

a_n = 2(10)ⁿ

Multiple Choice

Write the explicit formula for the geometric sequence.

a_n = 4(3)^n-1

a_n = 3(4)^n-1

a_n = -4(3)^n-1

a_n = 3(-4)^n-1

Multiple Choice

What is a₅ ?

-64

-24

-32

Not enough information

Writing Geometric Sequences

By Jala Hawkins

F.IF.3: I can identify, write, and create geometric sequences.

Show answer

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