Quiz about Algebra 1 - Ch. 6.7 Part 3 Recursively Defined Sequences Pg. 350

Question 1

Problem #36

Identify the first four terms of the sequence with the given description.

The first term of a sequence is 19. Each term of the sequence is 13 less than the preceding term.

Accepted Answer

1st four terms

19, 6, -7, -20

Answer

1st four terms

19, 6, 7, -20

Answer

1st four terms

19, -6, -7, -20

Question 2

Problem #36

Identify explicit rule for the sequence.

Accepted Answer

explicit rule

$$a_n=-13n+32$$

Answer

explicit rule

$$a_n=a_{n-1}-13$$

Answer

explicit rule

$$a_n=13n-32$$

Question 3

Problem #36

Identify the recursive rule for the sequence.

Accepted Answer

recursive rule

$$a_1=19,\ $$

$$a_n=a_{n-1}-13$$

Answer

recursive rule

$$a_1=-19,\ $$

$$a_n=a_{n-1}-13$$

Answer

recursive rule

$$a_1=19,\ $$

$$a_n=13n-32$$

Question 4

Problem #38

Identify the first four terms of the sequence with the given description. The first term of a sequence is -1. Each term of the sequence is -3 times the preceding term.

Accepted Answer

1st four terms

-1, 3, -9, 27

Answer

1st four terms

-1, -3, -9, 27

Answer

1st four terms

-1, 3, 9, -27

Question 5

Problem #38

Identify the explicit rule for the sequence.

Accepted Answer

explicit rule

$$a_n=-1\left(-3\right)^{n-1}$$

Answer

explicit rule

$$a_n=3a_{n-1}$$

Answer

explicit rule

$$a_n=1\left(-3\right)^{n-1}$$

Question 6

Problem #38

Identify the recursive rule for the sequence.

Accepted Answer

recursive rule

$$a_1=-1,\ $$

$$a_n=-3a_{n-1}$$

Answer

recursive rule

$$a_1=-1,\ $$

$$a_n=3a_{n-1}$$

Answer

recursive rule

$$a_1=-1,\ $$

$$a_n=1\left(-3\right)^{n-1}$$

Question 7

Problem #40

Identify the recursive rule for the sequence.

10, 9, 1, 8, -7, 15, ____, ____

Accepted Answer

recursive rule

$$a_1=10,\ a_2=9,$$

$$a_n=a_{n-2}-a_{n-1}$$

Answer

recursive rule

$$a_1=10,\ a_2=9,$$

$$a_n=a_{n-2}+a_{n-1}$$

Answer

recursive rule

$$a_1=-10,\ a_2=-9,$$

$$a_n=a_{n-2}-a_{n-1}$$

Question 8

Problem #40

Then identify the next two terms of the sequence.

10, 9, 1, 8, -7, 15, ____, ____

Accepted Answer

next 2 terms

-22, 37

Answer

next 2 terms

22, 37

Answer

next 2 terms

-22, -37

Question 9

Problem #42

Identify the recursive rule for the sequence.

6, 1, 7, 8, 15, 23, ____, ____

Accepted Answer

recursive rule

$$a_1=6,\ a_2=1,$$

$$a_n=a_{n-2}+a_{n-1}$$

Answer

recursive rule

$$a_1=6,\ a_2=1,$$

$$a_n=a_{n+2}+a_{n+1}$$

Answer

recursive rule

$$a_1=6,\ a_2=-1,$$

$$a_n=a_{n-2}-a_{n-1}$$

Question 10

Problem #42

Identify the next two terms of the sequence.

6, 1, 7, 8, 15, 23, ____, ____

Accepted Answer

next 2 terms

38, 61

Answer

next 2 terms

-38, 61

Answer

next 2 terms

-38, -61

Question 11

Problem #44

Identify the recursive rule for the sequence.

Accepted Answer

recursive rule

$$a_1=64,\ a_2=16,$$

$$a_n=\frac{a_{n-2}}{a_{n-1}}$$

Answer

recursive rule

$$a_1=-64,\ a_2=16,$$

$$a_n=\frac{a_{n+2}}{a_{n+1}}$$

Answer

recursive rule

$$a_1=64,\ a_2=16,$$

$$a_n=\frac{a_{n-2}}{a_{n+1}}$$

Question 12

Problem #44

Identify the next two terms of the sequence.

Accepted Answer

next 2 terms

$$4,\ \frac{1}{4}$$

Answer

next 2 terms

$$4,\ -\frac{1}{4}$$

Answer

next 2 terms

$$-4,\ -\frac{1}{4}$$

Question 13

Problem #46

ERROR ANALYSIS: Identify the correct recursive rule for the sequence

2, 4, 6, 10, 16, ...

Accepted Answer

$$a_1=2,\ a_2=4$$ $$a_n=a_{n-2}+a_{n-1}$$

Answer

$$a_1=2,\ a_2=4$$

$$a_n=a_{n-2}-a_{n-1}$$

Answer

$$a_1=4,\ a_2=2$$

$$a_n=a_{n-2}+a_{n-1}$$

Algebra 1 - Ch. 6.7 Part 3 Recursively Defined Sequences Pg. 350

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics