AnswersGA-Algebra Concepts and Connections CRAnalyzing Tables

Recognizing Patterns Answers

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Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below.1.5, 2.25, 3.0, 3.75, ...

A
f(n + 1) = f(n) + 1.5
B
f(n + 1) = f(n) + 0.75
C
f(n + 1) = f(n)
Option C
D
f(n + 1) = f(n)
Option D
2
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What is the common difference between successive terms in the sequence?0.36, 0.26, 0.16, 0.06, –0.04, –0.14, ...

A
–0.1
B
–0.01
C
0.01
D
0.1
3

What is the common ratio between successive terms in the sequence?1.5, 1.2, 0.96, 0.768, …

A
–0.8
B
–0.3
C
0.3
D
0.8
4

What is the common difference between successive terms in the sequence?2, 8, 14, 20, 26, ...

A
–6
B
–4
C
4
D
6
5

What is the common ratio between successive terms in the sequence?2, –4, 8, –16, 32, –64, ...

A
–2
B
–6
C
6
D
2
6

What is the common difference between successive terms in the sequence?9, 2.5, –4, –10.5, –17, ...

A
–11.5
B
–6.5
C
6.5
D
11.5
7

Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. Which formula could represent her sequence?

A
f(n + 1) = f(n) + 5
B
f(n + 1) = f(n + 5)
C
f(n + 1) = 5f(n)
D
f(n + 1) = f(5n)
8

A sequence is defined by the recursive function f(n + 1) = –10f(n).

A
3
B
–30
C
100
D
–1,000
9

A sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

Question illustration
A
52
B
60
C
68
D
92
10

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)?

A
10
B
13
C
31
D
34

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