Mastering Geometric Series: Value & Growth Calculations
Authored by Anthony Clark
English, Mathematics
9th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's value depreciates by 20% each year. If the car's initial value is $20,000, what will be its value after 3 years? Identify the geometric series and calculate the total depreciation over the 3 years.
$12,000 and $8,000
$15,000 and $5,000
The value of the car after 3 years is $10,240, and the total depreciation is $9,760.
$8,000 and $12,000
Tags
CCSS.HSA.SSE.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company invests $1,000 in a project that yields a return of 10% each year. What will be the total amount after 5 years? Identify the geometric series and calculate the total return.
1500.00
1610.51
2000.00
1200.00
Tags
CCSS.HSA.SSE.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bacteria culture doubles in size every hour. If the initial size is 500 bacteria, how many will there be after 4 hours? Identify the geometric series and calculate the total number of bacteria after 4 hours.
8000
4000
1000
2000
Tags
CCSS.HSF.BF.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A person saves $100 in the first month and increases their savings by 50% each subsequent month. How much will they save in total after 6 months? Identify the geometric series and calculate the total savings.
1500.00
1200.75
1800.50
2078.13
Tags
CCSS.HSA.SSE.B.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ball is dropped from a height of 80 meters and bounces back to 75% of its height each time. How high will it bounce after the third bounce? Identify the geometric series and calculate the total distance traveled by the ball after 3 bounces.
25 meters and 250 meters
40 meters and 400 meters
50 meters and 500 meters
33.75 meters and 323.75 meters
Tags
CCSS.HSA.SSE.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A loan of $5,000 is taken with an interest rate of 5% compounded annually. What will be the total amount owed after 4 years? Identify the geometric series and calculate the total amount.
6000.00
6077.53
5000.00
5500.00
Tags
CCSS.HSA.SSE.B.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree grows 30% taller each year. If it is initially 2 meters tall, what will be its height after 3 years? Identify the geometric series and calculate the total growth over the 3 years.
The height after 3 years is 3.5 meters, with a total growth of 1.5 meters.
The height after 3 years is 5 meters, with a total growth of 3 meters.
The height after 3 years is 6 meters, with a total growth of 4 meters.
The height after 3 years is approximately 4.39 meters, with a total growth of approximately 2.39 meters.
Tags
CCSS.HSF.BF.A.2
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