Geometric Sequences & More Quiz

Authored by Ms. Carter

Mathematics

9th Grade

CCSS covered

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17 questions

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DRAG AND DROP QUESTION

2 mins • 1 pt

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
The scenario represents an exponential (a) function. The common ratio of the equatin is (b) .

growth

decay

Tags

CCSS.HSF-LE.A.1A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which formula is the recursive equation for a geometric sequence?

a_1=

a_n=r\cdot a_{n-1}

$a_n=a_1+d\left(n-1\right)$

$a_n=a_1\cdot r^{n-1}$

$a_1=$
$a_n=d+a_{n-1}$

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
Write a recursive formula for the bacteria growth.

$a_n\ =\ 3a_{n-1}$

$a_n\ =\ 2a_{n-1}$

$a_n\ =\ 3\left(2\right)^{n-1}$

$a_n\ =\ 2\left(3\right)^{n-1}$

Tags

CCSS.HSF.IF.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
What is the growth of the bacteria on day 2, day 3, day 4, and day 5?

6, 18, 54, 162

2, 6, 18, 54

3, 6, 12, 24

6, 12, 24, 48

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the recursive formula, write the explicit formula for the geometric sequence.
$a_1=6$
$a_n=5\cdot a_{n-1}$

$a_n=5\cdot6^{n-1}$

$a_n=6\cdot5^{n-1}$

$a_n=6+5\left(n-1\right)$

$a_n=5+6\left(n-1\right)$

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
Create an explicit formula that shows the number of bacteria after “n” days .

$a_n\ =\ 2\left(3\right)^{n-1}$

$a_n\ =\ 3\left(2\right)^{n-1}$

$a_n\ =\left(3\right)a_{n-1}$

$a_n\ =\left(2\right)a_{n-1}$

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The first term in a geometric sequence is 160 and the common ratio is $\frac{1}{2}.$ What is the 7th term of the sequence

2.5

1.25

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$Find\ a_{12}\ in\ the\ sequence\ 1,\ 3,\ 9,\ 27,...$

$177,147$

$19,683$

$59,049$

$118,098$

Tags

CCSS.HSF.BF.A.2

MATH RESPONSE QUESTION

2 mins • 1 pt

The table shows an exponential relationship between the number of employees working for a business based on the time, in years, since the founding of the business.
Create an expression that can be used to determine the number of employees working for the business x years since the founding of the business.

$512\left(1.25\right)^x$

Mathematical Equivalence

Tags

CCSS.HSF.LE.A.2

10.

LABELING QUESTION

2 mins • 1 pt

Candace has a savings account. The total amount of money, in dollars, in the account in relation to the time, in years, since Candace made her first deposit can be described by the equation $A\ =\ 3,000\left(1\ +\ 0.04\right)^t.$
Move each part of the equation into the table next to the tern that BEST describes what it represents. Not all parts of the equation will be used.

3,000

(1 + 0.04)

0.04

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Geometric Sequences & More

“A population of bacteria begins with 2 bacteria on the first day and triples every day”The scenario represents an exponential ​ (a) function. The common ratio of the equatin is ​ (b) .

Which formula is the recursive equation for a geometric sequence?

“A population of bacteria begins with 2 bacteria on the first day and triples every day”Write a recursive formula for the bacteria growth.

“A population of bacteria begins with 2 bacteria on the first day and triples every day”What is the growth of the bacteria on day 2, day 3, day 4, and day 5?

Given the recursive formula, write the explicit formula for the geometric sequence. a1=6a_1=6a1​=6 an=5⋅an−1a_n=5\cdot a_{n-1}an​=5⋅an−1​

“A population of bacteria begins with 2 bacteria on the first day and triples every day”Create an explicit formula that shows the number of bacteria after “n” days .

The first term in a geometric sequence is 160 and the common ratio is 12.\frac{1}{2}.21​. What is the 7th term of the sequence

Find a12 in the sequence 1, 3, 9, 27,...Find\ a_{12}\ in\ the\ sequence\ 1,\ 3,\ 9,\ 27,...Find a12​ in the sequence 1, 3, 9, 27,...

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Discover more resources for Mathematics

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
The scenario represents an exponential (a) function. The common ratio of the equatin is (b) .

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
Write a recursive formula for the bacteria growth.

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
What is the growth of the bacteria on day 2, day 3, day 4, and day 5?

Given the recursive formula, write the explicit formula for the geometric sequence.
$a_1=6$
$a_n=5\cdot a_{n-1}$

“A population of bacteria begins with 2 bacteria on the first day and triples every day”
Create an explicit formula that shows the number of bacteria after “n” days .

The first term in a geometric sequence is 160 and the common ratio is $\frac{1}{2}.$ What is the 7th term of the sequence

$Find\ a_{12}\ in\ the\ sequence\ 1,\ 3,\ 9,\ 27,...$