Mastering Geometric Sequences: Nth Terms & Sums
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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9 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's value decreases by 20% each year. If the car's initial value is $20,000, what will its value be after 3 years? Calculate the nth term for n=3.
$10,240
$12,000
$8,000
$15,360
Tags
CCSS.HSF.BF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bacteria culture doubles in size every hour. If the initial number of bacteria is 500, how many will there be after 5 hours? Calculate the nth term for n=5.
32000
16000
1000
8000
Tags
CCSS.HSF.BF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bank offers a savings account with an interest rate of 5% compounded annually. If you deposit $1,000, how much will you have after 4 years? Calculate the sum of the geometric series for the first 4 terms.
1215.51
1000.00
1100.00
1500.00
Tags
CCSS.HSA.SSE.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree grows 1.5 times its height each year. If the tree is 2 meters tall now, what will its height be after 4 years? Calculate the nth term for n=4.
6.0 meters
12.75 meters
8.5 meters
10.125 meters
Tags
CCSS.HSF.BF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A video game character earns 100 points in the first level and then earns 150% of the previous level's points in each subsequent level. How many points will the character earn in the 6th level? Calculate the nth term for n=6.
759.375
800
450
600
Tags
CCSS.HSF.BF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company’s profit increases by 10% each quarter. If the profit in the first quarter is $50,000, what will the profit be in the 3rd quarter? Calculate the nth term for n=3.
60000
55000
70000
60500
Tags
CCSS.HSF.BF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A geometric sequence starts with 3 and has a common ratio of 4. What is the sum of the first 5 terms of this sequence?
512
256
1024
1023
Tags
CCSS.HSA.SSE.B.4
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