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Recognizing Patterns

Terms in this set (15)

An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.

110, 130, 150, 170, ...
Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?
NOT f(n + 1) = f(n + 1) + 20
A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?
-12, -18, -27, ...
A sequence is defined by the formula f(n + 1) = f(n) - 3. If f(4) = 22, what is f(1)?
31
Which best describes the relationship between the successive terms in the sequence shown?

2.4, -4.8, 9.6, -19.2
The common ratio is -2.0.
What is the common difference between successive terms in the sequence?

2, 8, 14, 20, 26, ...
6
What is the common difference between successive terms in the sequence?

9, 2.5, -4, -10.5, -17, ...
-6.5
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, ...
Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?
f(n + 1) = f(n) + 0.75
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?
-1
What is the common ratio between successive terms in the sequence?

1.5, 1.2, 0.96, 0.768, ...
0.8
Which sequences are geometric? Check all that apply.
-2.7, -9, -30, -100, ...
-1, 2.5, -6.25, 15.625, ...
8, 0.8, 0.08, 0.008, ...
A sequence is defined recursively using the equation f(n + 1) = f(n) - 8. If f(1) = 100, what is f(6)?
60
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, ...
Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year?
f(n + 1) = 1.05f(n)
A sequence is defined by the recursive function f(n + 1) = -10f(n).

If f(1) = 1, what is f(3)?
100
Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, -4.8, 2.4, -1.2, 0.6, ...
f(n + 1) = -0.5f(n)
What is the common difference between successive terms in the sequence?

0.36, 0.26, 0.16, 0.06, -0.04, -0.14, ...
-0.1
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