WorksheetsArithmetic Sequences Review II
Total questions: 12
Worksheet time: 3hrs 0mins
Name
Class
Date
1.
Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75
a)
Yes
b)
No
2.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
3.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
4.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
5.
Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .
6, 4, 2, 0, . . .
a)
an = -2n + 8
b)
a1 =6, an = an - 1 - 2
c)
a1 = 6, an = an-1 + 2
d)
a1 = 6, an = an-1 - 2
6.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
7.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
8.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
9.
Select the explicit rule that represents the sequence.
a)
14(-3)(n - 1)
b)
3 + (n - 1)(14)
c)
14 + (n - 1)(-3)
d)
-3 + (n - 1)(14)
10.
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
an = an-1 + 5
a1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
11.
A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km to the third week, and so on. How many miles will the patient walk during the 10th week?
(a)
12.
The library charges you a fine when you return a library book late. If it is one day late you are charged $1.00, if it is two days late you are charged $1.15, and if you care three days late you are charged $1.30. How much would you be charged if you are 65 days late?
(a)
100 %
