Geometric Sequences and Exponential Functions

Geometric Sequences and Exponential Functions

9th Grade

15 Qs

quiz-placeholder

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Geometric Sequences and Exponential Functions

Geometric Sequences and Exponential Functions

Assessment

Quiz

Mathematics

9th Grade

Hard

CCSS
HSF.BF.A.2, HSF-IF.C.7E, HSF.LE.A.2

+2

Standards-aligned

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Consider the geometric sequence 6, 24, 96, 384, …. Choose True or False for each statement. The recursive rule is f (1) = 4; f (n) = f (n-1) · 6.

True

False

Tags

CCSS.HSF.BF.A.2

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

A laser beam with an output of 6 milliwatts is focused at a series of mirrors. The laser

beam loses 2% of its power every time it reflects off of a mirror. The power p (n) is an

exponential function of the number of reflections in the form of p (n) = ab n . Write the

equation p (n) for this laser beam. Determined the values of a and b. Copy and replace the letter with the right number or letter. LEAVE the spacing it will mark it wrong and it will stay WRONG.

p (n) = a (b) ^ x

Tags

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the common ratio for the sequence?
1, 3, 9, 27, ...

-3

-⅓

3

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What would the tenth term in the sequence be?
⅓, 1, 3, 9, ...

729

2187

6561

19683

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is
f(x)= (8)x
evaluated for x = 0

-8

0

1

8

Tags

CCSS.HSF-IF.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the common ratio for the sequence?
4, 2, 1, ½, ¼, ...

-2

½

2

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A ball is dropped from a height of 18feet. The function f(x)=18(0.5)gives the height in feet of each bounce, where x is the bounce number. What will be the height of the third bounce to the nearest tenth of a foot?

4.5 ft

2.3 ft

1.1 ft

0.6 ft

Tags

CCSS.HSF.BF.A.2

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