Slope of a Line Answers

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What is the common ratio between successive terms in the sequence?27, 9, 3, 1, , , , ...

Question illustration
A
–3
B
Option B
C
Option
Option C
D
3
2
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A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)?

Question illustration
A
−15
B
−7.5
C
7.5
D
15
3

Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.100, 105, 110.25, ...

A
f(n + 1) = f(n) + 5
B
f(n + 1) = 5f(n)
C
f(n + 1) = 1.05f(n)
D
f(n + 1) = 0.05f(n)
4

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

A
3
B
–30
C
100
D
–1,000
5

Which sequences are geometric? Select three options.–2.7, –9, –30, –100, ...–1, 2.5, –6.25, 15.625, ...9.1, 9.2, 9.3, 9.4, ...8, 0.8, 0.08, 0.008, ...4, –4, –12, –20, ...

A
–2.7, –9, –30, –100, ...
B
–1, 2.5, –6.25, 15.625, ...
C
9.1, 9.2, 9.3, 9.4, ...
D
8, 0.8, 0.08, 0.008, ...
E
4, –4, –12, –20, ...
6

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)
7

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8

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
9

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
10

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

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