Sequences, Exponential Growth/Decay, & Simplifying Radicals

Sequences, Exponential Growth/Decay, & Simplifying Radicals

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GEOMETRIC SEQUENCES

REVIEW

Multiple Choice

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Multiple Choice

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Multiple Choice

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Multiple Choice

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

Multiple Choice

What does r represent?

• Radical

• Common difference

• Common ratio

Multiple Choice

What does a₁ represent?

• Any term

• First term

• Last term

Multiple Choice

Find the 11^th term for: 64, -32, 16, -8, …

• -.0625

• .0625

• -.03125

• .03125

EXPONENTIAL GROWTH/DECAY

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Multiple Choice

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Multiple Choice

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29
• $424,527.63
• $57,357.75
• $532,041,076.80

Multiple Choice

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327

• 4309

• 839

• 7680

SIMPLIFYING RADICALS

REVIEW

Multiple Choice

√81

• 12
• 11
• 10
• 9

Multiple Choice

√96

• 4√6
• 3√6
• 6√5
• 6√8

Multiple Choice

Find the square root.

 $\sqrt{\frac{81}{196}}$  

•  $\frac{8}{13}$  

•  $\frac{9}{14}$  

•  $\frac{45}{98}$  

•  $\frac{9}{13}$  

Multiple Choice

√48

• 4√2
• 6√3
• 4√3
• 4√2

Multiple Choice

Find the cube root.

• -8

• -4

• -16

• 4

Multiple Choice

Simplify: √300

• 3√10

• 2√150

• 100√3

• 10√3

Multiple Choice

Find the cube root.

• 3

• 4

• 9

• 12.5