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Arithmetic and Geometric Sequences

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Last updated over 2 years ago
24 questions
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Question 1
1.

Which sequence has a common ratio of -3?

Question 2
2.

Which sequence has a common difference of 1.25

Question 3
3.
Determine whether the sequence is arithmetic or geometric.

4, 8, 16, 32

The sequence is __________
Question 4
4.
Determine whether the sequence is arithmetic or geometric.

16, 30, 44, 58

The sequence is __________
Question 5
5.
Determine whether the sequence is arithmetic or geometric.

2, -6, 18, 54

The sequence is __________
Question 6
6.
Determine whether the sequence is arithmetic or geometric.

7.3, 9.4, 11.5, 13.6, 15.7

The sequence is __________
Question 7
7.
Determine whether the sequence is arithmetic or geometric.

320, 410, 500

The sequence is __________
Question 8
8.

Write a recursive formula for the following sequence.

4, 8, 16, 32

Question 9
9.

Write an explicit formula for the following sequence.

4, 8, 16, 32

Question 10
10.

Write a recursive formula for the following sequence.

16, 30, 44, 58

Question 11
11.

Write an explicit formula for the following sequence.

16, 30, 44, 58

Question 12
12.

Write a recursive formula for the following sequence.

2, -6, 18, -54

Question 13
13.

Write an explicit formula for the following sequence.

2, -6, 18, -54

Question 14
14.

Write a recursive formula for the following sequence.

320, 410, 500

Question 15
15.

Write an explicit formula for the following sequence.

320, 410, 500

Question 16
16.

Write a recursive formula to represent the sequence that models the scenario.

The population of a city started at 378,000. Every year thereafter it decreased by 23,000 individuals.

Question 17
17.

Write an explicit formula to represent the sequence that models the scenario.

The population of a city started at 378,000. Every year thereafter it decreased by 23,000 individuals.

Question 18
18.

The population of a city started at 378,000. Every year thereafter it decreased by 23,000 individuals. How many people will remain in the city after 13 years?

Question 19
19.

Write an explicit formula to represent the sequence that models the scenario.

A test showed that after the first hour of receiving a medication, 100 milligrams remained in the body. Continued tests showed that the dose found in the body halved every hour after the first hour.

Question 20
20.

Write a recursive formula to represent the sequence that models the scenario.

A test showed that after the first hour of receiving a medication, 100 milligrams remained in the body. Continued tests showed that the dose found in the body halved every hour after the first hour.

Question 21
21.

A test showed that after the first hour of receiving a medication, 100 milligrams remained in the body. Continued tests showed that the dose found in the body halved every hour after the first hour. How much of the medication will remain in the body after 9 hours?

Question 22
22.

Which explicit formula is represented by the graph?

Question 23
23.

Which explicit formula is represented by the graph?


Question 24
24.

A sequence can be generated by using
where
r = 5 and n is a whole number greater than 1.

What are the first four terms in the sequence