Download 9.1 -9.2 quiz review Name: Multiple Choice Identify the choice that

9.1 -9.2 quiz review
Name: _____________________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Write a rule for the nth term of the sequence. Use your rule to find a100.
–8, 9, 26, 43, 60, . . .
a. 1692
b. 1709
c. 17
d. 1675
____
2. A company is tracking the number of complaints received on its website. During the first 4 months, they
record the following numbers of complaints: 20, 25, 30, and 35. Which is a possible explicit rule for the
number of complaints they will receive in the nth month?
a.
b.
____
3. Find the 16th term in the following arithmetic sequence.
–6, –13, –20, –27, –34, ...
a. –105
c. –126
b. –118
d. –111
____
4. Find the first 5 terms of the sequence with
a. 1, 2, 3, 4, 5
b. 6, 7, 8, 9, 10
____
5. Find a function that describes the arithmetic sequence 16, 17, 18, 19, ... Use y to identify each term in the
sequence and n to identify each term’s position.
a. y = 16n
c. y = n + 15
b. y = 15n +1
d. y = 17n –1
____
6. For
a.
b.
c.
d.
and
for
c. 6, 12, 24, 48, 96
d. 6, 11, 21, 41, 81
, what is the value of x for which
?
.
Short Answer
1. Write a recursive rule for the sequence.
2. Morgan is adding ice cubes to her soup to cool it down. For the first 3 minutes after the soup is served, the
temperature, in degrees Fahrenheit, is 150, 146.5, 143. Write a possible explicit rule for the temperature in the
nth minute.
3. What is the first term of an arithmetic sequence with a common difference of 5 and a sixth term of 40?
4. A small hotel with 6 rooms was destroyed in a fire. After the hotel was rebuilt, the owner took out a loan to
buy new beds. The recursive rule
gives the amount left on the loan at the
beginning of month n. Write the first five terms of the sequence.
5. Write the next three terms of the arithmetic sequence. Then write a variable expression for the nth term and
evaluate it for
6 Two terms of an arithmetic sequence are
and
. Find both rules for the nth term.
9.1 -9.2 quiz review
Answer Section
MULTIPLE CHOICE
1. ANS:
NAT:
LOC:
TOP:
DOK:
2. ANS:
DOK:
3. ANS:
OBJ:
LOC:
KEY:
4. ANS:
OBJ:
NAT:
LOC:
DOK:
5. ANS:
NAT:
TOP:
KEY:
6. ANS:
DOK:
D
PTS: 1
REF: 091bd3f0-1a76-11df-b9de-001e33aa91d2
NT.CCSS.MTH.10.9-12.F.BF.1.a STA: MI.MIGLC.MTH.06.9-12.L1.1.5
NCTM.PSSM.00.MTH.9-12.ALG.1.a
Relate Arithmetic Sequences to Linear Functions
KEY: arithmetic sequences | terms
DOK 2
B
PTS: 1
NAT: NT.CCSS.MTH.10.9-12.F.BF.2
DOK 1
D
PTS: 1
REF: a00e4413-9631-11dd-8a40-001185f11039
Finding a Given Term of an Arithmetic Sequence
NAT: NT.CCSS.MTH.10.9-12.F.BF.2
MTH.C.13.06.01.01.01.003
TOP: Terms of Arithmetic Sequences
arithmetic sequence
DOK: DOK 1
D
PTS: 1
REF: 17f19b6e-4683-11df-9c7d-001185f0d2ea
Finding Terms of a Sequence by Using a Recursive Formula
NT.CCSS.MTH.10.9-12.F.BF.2
STA: MI.MIGLC.MTH.06.9-12.L2.2.1
MTH.C.13.06.01.01.003
TOP: Introduction to Sequences
DOK 2
C
PTS: 1
NT.CCSS.MTH.10.9-12.F.BF.1.a | NT.CCSS.MTH.10.9-12.F.BF.2
Translate Between Recursive and Explicit Rules for Sequences
sequence | recursive rule
DOK: DOK 2
B
PTS: 1
NAT: NT.CCSS.MTH.10.9-12.F.IF.2
DOK 2
SHORT ANSWER
1. ANS:
;
PTS: 1
REF: MAL21664
NAT: NT.CCSS.MTH.10.9-12.F.BF.1.a | NT.CCSS.MTH.10.9-12.F.BF.2
LOC: NCTM.PSSM.00.MTH.9-12.ALG.1.a | NCTM.PSSM.00.MTH.9-12.ALG.2.d |
NCTM.PSSM.00.MTH.9-12.ALG.3.b
TOP: Use Recursive Rules with Sequences and Functions
KEY: sequence | recursive | recursion
DOK: DOK 2
2. ANS: f(n) = -3.5n + 135.5
PTS: 1
3. ANS:
15
PTS:
STA:
KEY:
4. ANS:
NAT: NT.CCSS.MTH.10.9-12.F.BF.2
DOK: DOK 2
1
REF: MAL21596 NAT: NT.CCSS.MTH.10.9-12.F.BF.2
MI.MIGLC.MTH.06.9-12.L2.2.1
TOP: Analyze Arithmetic Sequences and Series
common difference | arithmetic sequence
DOK: DOK 2
7,200; 6,720; 6,240; 5,760; 5,280
PTS: 1
NAT: NT.CCSS.MTH.10.9-12.F.BF.1.a | NT.CCSS.MTH.10.9-12.F.BF.2
TOP: Translate Between Recursive and Explicit Rules for Sequences
KEY: sequence | explicit rule
DOK: DOK 2
5. ANS:
PTS:
STA:
TOP:
KEY:
6. ANS:
PTS:
NAT:
TOP:
DOK:
1
REF: MAL21581 NAT: NT.CCSS.MTH.10.9-12.F.BF.2
MI.MIGLC.MTH.06.9-12.L2.2.1
LOC: NCTM.PSSM.00.MTH.9-12.ALG.1.a
Define and Use Sequences and Series
expression | arithmetic sequence | variable
DOK: DOK 2
an = 3 + (n – 1)2
an = 2n + 1
1
REF: A2.12.02.FR.09
NT.CCSS.MTH.10.9-12.F.BF.2 | NT.CCSS.MTH.10.9-12.F.LE.2
Analyze Arithmetic Sequences and Series
KEY: arithmetic sequence
DOK 2