Geometric Sequences: Find nth Term & Explicit Formulas
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 bacteria culture doubles in size every hour. If the initial size is 100 bacteria, what will be the size after 5 hours? Find the 5th term of the sequence.
1600
4000
2400
3200
Tags
CCSS.HSF.BF.A.2
2.
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 its value be after 3 years? Write the explicit formula for the car's value over time.
$8,000
$15,000
$12,500
$10,240
Tags
CCSS.HSF.BF.A.2
3.
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? Find the 4th term of the sequence.
10.125
6.0
12.75
8.5
Tags
CCSS.HSF.BF.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A video game character gains experience points in a geometric sequence, starting with 50 points and multiplying by 3 each level. What is the experience points at level 4? Find the 4th term of the sequence.
1350
900
1800
1200
Tags
CCSS.HSF.BF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company’s profit increases by a factor of 1.2 each year. If the profit in the first year is $10,000, what will it be in the 5th year? Write the explicit formula for the profit over the years.
20736
18000
25000
15000
Tags
CCSS.HSF.BF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A population of fish in a lake triples every year. If there are initially 200 fish, how many will there be after 3 years? Find the 3rd term of the sequence.
1800
6000
5400
1200
Tags
CCSS.HSF.BF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A smartphone's battery life decreases to 80% of its previous life every month. If the initial battery life is 10 hours, what will it be after 2 months? Write the explicit formula for the battery life.
8 hours
5 hours
7.2 hours
6.4 hours
Tags
CCSS.HSF.BF.A.2
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