SOLUTION: 1. Describe a pattern in each sequence. What are the next two terms of each sequence? 24, 22, 20, 18, . . . Choose one answer. a. multiply the previous term by -2; -36, 72

Question 828363: 1. Describe a pattern in each sequence. What are the next two terms of each sequence?

24, 22, 20, 18, . . .
Choose one answer.
a. multiply the previous term by -2; -36, 72
b. multiply the previous term by -2; 16, 72
c. subtract 2 from the previous term; 16, 14
d. add 2 to the previous term; 20, 22
2. Describe a pattern in each sequence. What are the next two terms of each sequence?

2, 4, 8, 16, . . .
Choose one answer.
a. add 2 to the previous term; 14, 12
b. subtract 2 from the previous term; 32, 64
c. multiply the previous term by -2; -32, 64
d. multiply the previous term by 2; 32, 64
3. Tell whether the sequence is arithmetic. If it is, what is the common difference?

15, 19, 23, 27, . . .
Choose one answer.
a. yes; 15/19
b. yes; 4
c. yes; 34
d. no

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
1. Describe a pattern in each sequence. What are the next two terms of each sequence?
24, 22, 20, 18, . . .
the difference between one term and the next is
<-->
was added to 24 to get 22,
or if you prefer was subtracted from 24 to get 22.
The pattern continues subtracting from the previous term each time.

, so the answer is
c. subtract 2 from the previous term; 16, 14

2. Describe a pattern in each sequence. What are the next two terms of each sequence?
2, 4, 8, 16, . . .
In this case the differences between one term and the next are not the same.

The ratios between consecutive terms are the same, though.
, ,
Each term is double the term before.
, , ,
and the pattern continues with
and , so the answer is
d. multiply the previous term by 2; 32, 64

3. Tell whether the sequence is arithmetic. If it is, what is the common difference?
15, 19, 23, 27, . . .
In an arithmetic sequence each number is the previous one plus a constant number called the common difference, because the difference between consecutive terms is always that number.

So it is an arithmetic sequence and the common difference is , so the answer is
b. yes; 4
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