Flashcards on Arithmetic and Geometric Sequences Word Problems
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An arithmetic sequence has a common difference of 3. If the first term is 4, what is the 6th term?
16
A geometric sequence has a common ratio of 2. If the first term is 5, what is the 4th term?
40
In an arithmetic sequence, the first term is 8 and the common difference is -2. What is the 10th term?
-12
In a geometric sequence, the first term is 2 and the common ratio is -3. What is the 5th term?
162
An arithmetic sequence has a common difference of 7. If the first term is 3, what is the 8th term?
52
A geometric sequence has a common ratio of 0.5. If the first term is 6, what is the 6th term?
0.1875
In an arithmetic sequence, the first term is -10 and the common difference is 4. What is the 15th term?
50
In a geometric sequence, the first term is 3 and the common ratio is -2. What is the 3rd term?
-12
A farmer plants a row of apple trees with an arithmetic sequence. The first tree starts 2 meters from the barn, and each tree is planted 4 meters apart. If there are 10 trees, how far is the last tree from the barn?
38 meters
A population of bacteria doubles every hour. If there are 100 bacteria initially, how many will there be after 5 hours?
3200 bacteria
In an arithmetic sequence, the first term is 3 and the common difference is 2. How many terms are needed to reach a value of 29?
14 terms
A geometric sequence has a common ratio of 0.1. If the first term is 1000, what is the 6th term?
1
In a geometric sequence, the first term is 2 and the common ratio is -0.5. What is the 8th term?
0.015625
An arithmetic sequence has a common difference of 6. If the first term is 20, what is the 12th term?
74
A geometric sequence has a common ratio of -4. If the first term is 3, what is the 7th term?