Name: ________________________ Class: ___________________ Date: __________
ID: A
Unit 1 Arithmetic and geometric sequences post test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1 Given the following terms a 1  8 and a 2  16. What would a 3 be if the terms form an arithmetic sequence ,
if it forms an geometric sequence ?
A) arithmetic: a 3  32
geometric: a 3  32
B)
arithmetic: a 3  24
geometric: a 3  32
C) arithmetic: a 3  8
geometric: a 3  2
D) arithmetic: a 3  32
geometric: a 3  24
2 Consider the sequence: 8, 8, 8, 8, 8, 8, ...
Which of the following describe the sequence?
A) arithmetic
B) geometric
C) neither
D) both arithmetic and geometric
3 The first term of a geometric sequence is 2. The fifth term of the same sequence is 1250. Which of the
following could be the terms of the sequence between the first and the fifth?
A) -10, -50, -250
B) 10, -50, 250
C) 10, 50, 250
D) 314, 626, 938
4 The vertices of a triangle are (2, 1), (4, 4), and (6, 2) Which system of inequalities describes the interior of
the triangle?
ÏÔ
ÔÔ 4y  x  2
ÔÔ
Ô
A) ÌÔ 3y  2x  1
ÔÔ
ÔÔ y  8  x
ÔÓ
ÔÏÔ 4y  x  2
ÔÔ
ÔÔ
B) ÌÔ 2y  3x  4
ÔÔ
ÔÔ y  8  x
ÔÓ
ÏÔ
ÔÔ 2y  x
ÔÔ
Ô
C) ÌÔ 2y  3x  4
ÔÔ
ÔÔ y  8  x
ÔÓ
ÔÏÔ 2y  x
ÔÔ
ÔÔ
D) ÌÔ 3y  2x  1
ÔÔ
ÔÔ y  8  x
ÔÓ
1
Name: ________________________
ID: A
5 A sequence is defined using the recursive formula:
a 1  8
an  an  1  2
where n  2
Which of the following sequences would be generated by the recursive rule above?
A) -8, -10, -12, -14, -16, ...
B) -8, -4, -2, -1, -0.5, ...
C) -8, -6, -4, -2, 0, 2, ...
D) -2, -4, -6, -8
ÔÏÔ x  y  5
ÔÔ
ÔÔ
6
ÌÔ x  z  7
ÔÔ
ÔÔ y  z  16
ÔÓ
What is the solution to this system of equations?
A) {(2, 3, 9)}
B) {(2, 7, 5)}
C) {(-2, 8, 8)}
D) {(-2, 7, 9)}
2
Name: ________________________
ID: A
Matching
For each of the graphs below, say which of the descriptions A, B, C, or D applies.
A) converging geometric sequence
B) converging arithmetic sequence
C) diverging geometric sequence
D) diverging arithmetic sequence
7
8
3
Name: ________________________
ID: A
9
4
Name: ________________________
ID: A
Problem
10 Nate had $15,000 in credit card debt when he graduated from college. The balance increased by 2% each
month due to interest and Nate could only make payments of $400 per month. Nate used the formula
b n  1.02(b n  1 )  400 to chart how much his balance was for the first 5 months. Create a list of his credit
card balance for each of the first 5 months after he graduated from college.
11 During their routine, a high school marching band marches in rows. There is one performer in the first row,
three performers in the second row, and five in the third row. This pattern continues for the rest of the rows
A) Determine a recursive formula to model this pattern.
B) Determine an explicit formula to model this pattern
C) How many performers will be in the 14th row?
5
ID: A
Unit 1 Arithmetic and geometric sequences post test
Answer Section
MULTIPLE CHOICE
1
2
3
4
5
6
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
D
C
B
A
D
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
NAT:
NAT:
NAT:
STA:
NAT:
NAT:
F-BF.A1a
F-IF.A3
F-LE.A2
A2.2.2a
F-IF.A3
A-REI.C6
MATCHING
7 ANS: C
8 ANS: A
9 ANS: D
PTS: 1
PTS: 1
PTS: 1
NAT: F-LE.A2
NAT: F-LE.2
NAT: F-LE.2
PROBLEM
10 ANS:
1st month: $15,000
2nd month: $14,900
3rd month: $14,798
4th month: $14, 693.96
5th month: $14, 587.84
PTS: 1
11 ANS:
A) a 1  1
NAT: F-BF.A1a
a n  a (n  1 )  2 for n  2
B) a n  2n  1
C) a 14  27 performers
PTS: 1
NAT: F-BF.A2
1
STA: A2.2.2b