Unit 7 Test Review: Sequences

Find the next term of the sequence:

6, -18, 54, -162, ...

• 115

• 486

• -486

• -168

Tags

CCSS.HSF.BF.A.2

Write a recursive formula for the following sequence:

12, 19, 26, 33, 40, ...

• $f\left(1\right)=12;\ \ f\left(n\right)=f\left(n-1\right)+7$

• $f\left(1\right)=12;\ \ f\left(n\right)=f\left(n-1\right)\cdot7$

• $f\left(1\right)=12;\ \ f\left(n\right)=f\left(n-1\right)+9$

• $f\left(1\right)=12;\ \ f\left(n\right)=f\left(n-1\right)\cdot9$

Tags

CCSS.HSF.IF.A.3

The first four terms of the sequence with

 $a_1=60$  and  $a_n=\frac{1}{3}a_{n-1}\$  

•  $60,\ 30,\ 10,\ \frac{10}{3}$  

•  $60,\ 20,\ \frac{20}{3},\ \frac{20}{9}$  

•  $60,\ 180,\ 540,\ 1620$  

•  $60,\ 15,\ 5,\ \frac{5}{3}$  

Tags

CCSS.HSF.BF.A.2

If the pattern of blocks continues, how many blocks will the 7th term have?

• 14

• 32

• 128

• 64

Tags

CCSS.HSF.BF.A.2

Using the recursive formula below, find the 9th term in the sequence:

 $a\left(1\right)=6$  

 $a\left(n\right)=-3a_{n-1}$  

• -118,908

• 118908

• 39366

• -51

Tags

CCSS.HSF.BF.A.2

The second term in a geometric sequence is 35 and the fourth term is 1715. Which equation could be the appropriate explicit formula?

• 
  

  $a\left(1\right)=5$ ; $a\left(n\right)=7\cdot a_{n-1}$

• $a\left(n\right)=5\cdot7^{n-1}$

• $a\left(n\right)=7\cdot5^{n-1}$

• $a\left(n\right)=5+7\left(n-1\right)$

Tags

CCSS.HSF.BF.A.2

Is the following sequence arithmetic, geometric, or neither?

1, 4, 8, 11, 15, ...

• arithmetic

• geometric

• neither

• yes?

Tags

CCSS.HSF.BF.A.2

The population of Sunnyvale is currently 4,000 people. A horrible stench develops in the sewers beneath Sunnyvale, causing half of the population to leave every week.

How many people are still there after week 5?

• 500

• 62

• 125

• 1

Tags

CCSS.HSF.BF.A.2

Frodo's new single, Straight Outta Bag-End, just dropped on SoundTube. On the first day, there were 1200 downloads, then 1500 downloads on the second day, and 1800 downloads on the third day. If the pattern continues, how many downloads will Frodo have on the 40th day?

• 121200

• 13900

• 14200

• 12900

Tags

CCSS.HSF.BF.A.2

The formula below represents an arithmetic sequence. What is the value of the first term in the sequence?

 $a\left(n\right)=28-7\left(n-1\right)$  

• 28

• 35

• 21

• 42

Tags

CCSS.HSF.BF.A.2