WorksheetsExplicit Formula, Arithmetic Sequences and Recursive Formulas
Total questions: 15
Worksheet time: 1hrs 8mins
Name
Class
Date
1.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = 25 +(-4)(n-1)
c)
an = -25 +(-4)(n-1)
d)
an = 4n + 25
2.
Write the explicit formula for the sequence -4, -6, -8, -10,...
a)
an = -4 + (-2)(n-1)
b)
an = 4 + (-2)(n-1)
c)
an = -4 - 2(n-1)
d)
an = -4 + 2(n-1)
3.
What is the common ratio for the sequence:
3, 15, 75...
a)
12
b)
1/5
c)
5
d)
4
4.
What is the explicit rule for the sequence:
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
d)
a1 = 11 ; an+1 = an * 2
5.
What is a1?
3, 15, 75, 375, 1875...
3, 15, 75, 375, 1875...
a)
3
b)
3/5
c)
5
d)
1875
6.
Given the sequence 4, 11, 18, 25...... what is a3 ?
a)
4
b)
11
c)
18
d)
25
7.
What is a10 for the sequence
4, 4.5, 5, 5.5, 6.....
a)
6
b)
6.5
c)
8.5
d)
9.5
8.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
9.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
10.
What is the 15th term of the sequence an = -3n+50
a)
95
b)
-5
c)
5
d)
-95
11.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
12.
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
13.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
a1=17
a1=17
b)
an = an-1 - 17
a1=17
a1=17
c)
an = an-1 - 15
a1=17
a1=17
d)
an = an-1 - 16
a1=17
a1=17
14.
Which sequence is represented by the equation f(n) = 2(7)n-1 ?
a)
7, 14, 28, 56...
b)
2, 14, 98, 686...
c)
2, 9, 16, 23...
d)
7,9,11,13...
15.
Find the 25th term of the sequence if a1 = 5 and d = 0.5
a)
18
b)
17
c)
15
d)
14
100 %
