Back to Tutor Intake Assessment: Write arithmetic and geometric sequences

HSF.BF.A.2 Tutor Intake -- Arithmetic and Geometric Sequences

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Grade 9·11 problems·~13 min·Common Core Math - HS Functions·group·hsf-bf-a-2
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A

Concepts

1

Which of the following best describes an arithmetic sequence?

2

In the arithmetic sequence 10, 13, 16, 19, …10,\ 13,\ 16,\ 19,\ \ldots, what is the common
difference dd?

3

A sequence starts with a1=4a_1 = 4 and has the recursive rule an=an−1⋅3a_n = a_{n-1} \cdot 3.
Which statement is true?

B

Procedures

1

An arithmetic sequence has a1=5a_1 = 5 and common difference d=3d = 3.
Which explicit formula is correct?

2

Use the arithmetic sequence an=5+3(n−1)a_n = 5 + 3(n-1) to find a8a_8.

3

A geometric sequence has a1=6a_1 = 6 and common ratio r=2r = 2.
Which explicit formula is correct?

4

Find the common ratio rr for the geometric sequence: 2, 6, 18, 54, …2,\ 6,\ 18,\ 54,\ \ldots

5

A sequence is defined recursively as a1=7a_1 = 7, an=an−1+4a_n = a_{n-1} + 4.
Which explicit formula is equivalent?

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