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WorksheetsMastering Geometric Sequences: Nth Terms & Sums
Total questions: 9
Worksheet time: 5mins
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
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
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
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
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
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
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
A population of fish in a lake increases by 25% each year. If there are currently 200 fish, how many will there be after 2 years? Calculate the nth term for n=2.
300
250
313
400
A geometric sequence has a first term of 10 and a common ratio of 3. What is the 4th term of the sequence? Calculate the nth term for n=4.
1000
270
81
90
