AnswersFL-1200370-Algebra 1-A Semester 1Recognizing Patterns

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
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A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

A
–7
B
–1
C
1
D
7
3

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

A
3
B
–30
C
100
D
–1,000
4

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
5

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)

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Recognizing Patterns Answers…