Recognizing Patterns Answers

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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
2
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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
3

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

A
3
B
–30
C
100
D
–1,000
4

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
5

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
6

An investment account has a balance of $5,000 at the end of the first year, $5,400 at the end of the second year, and $5,832 at the end of the third year. What will the balance be at the end of the fourth year?

A
$6,232
B
$6,298.56
C
$6,000
D
$6,364.80
7

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

A
–6
B
–4
C
4
D
6
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

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