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WorksheetsArithmetic and Geometric Sequence and Series Review
Total questions: 41
Worksheet time: 2hrs 44mins
Name
Class
Date
1.
What is a sequence?
a)
An order of the same numbers.
b)
A list of numbers in a specific order.
c)
A list of numbers always decreased.
d)
An order of numbers with no relation.
2.
How is an arithmetic sequence found?
a)
By multiplying the same number to the previous term.
b)
By adding the same number to the previous term.
3.
How is an geometric sequence found?
a)
By adding the same number to the previous term.
b)
By multiplying the previous term by the same number.
4.
What is a term?
a)
Each number in the sequence.
b)
Each variable in the sequence.
c)
Each number or variable in the sequence.
5.
Describe the relationship between the terms in the arithmetic sequence
4, 8, 12, 16
4, 8, 12, 16
a)
Subtracting 4 to the previous term
b)
Adding 4 to the previous term
c)
Multiplying by 2 to the previous term
d)
Dividing each term by 2
6.
Describe the relationship between the terms in the arithmetic sequence
15, 30, 45, 60
15, 30, 45, 60
a)
Adding 15 to the previous term
b)
Subtracting 15 to the previous term
c)
Multiplying each term by 3
d)
Dividing the previous term by 2
7.
Describe the relationship between the terms in the geometric sequence
2, 4, 8, 16
2, 4, 8, 16
a)
Multiplying the previous term by 2.
b)
Adding by 2 to the previous term.
c)
Subtracting the previous term by 4
d)
Multiplying the previous term by 4
8.
Describe the relationship between the terms in the geometric sequence
3, 9, 27, 81
3, 9, 27, 81
a)
Multiplying the previous term by 2
b)
Multiplying the previous term by 3
c)
Dividing the previous term by 3
d)
Adding 3 to the previous term
9.
What 3 terms come next in the sequence?
4, 8, 12, 16
4, 8, 12, 16
a)
20, 24, 28
b)
12, 8, 4
c)
24, 28, 20
d)
20, 22, 24
10.
What 2 terms come next in the sequence?
15, 12, 9, 6
15, 12, 9, 6
a)
6. 3, 0
b)
3, 6
c)
6, 3
d)
3, 0
11.
What 3 terms come next in the sequence?
2, 4, 8, 16
2, 4, 8, 16
a)
32, 64, 128
b)
18, 20, 22
c)
24, 28, 32
d)
32, 60, 120
12.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
13.
Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }
{2, 9, 7, 14, 12, 19, ... }
a)
Arithmetic
b)
Geometric
c)
Neither
14.
What is the common difference in this sequence?
{48, 32, 16, 0, ... }
{48, 32, 16, 0, ... }
a)
1/2
b)
2
c)
-8
d)
-16
15.
Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }
{14, 22, 30, 38, .. }
a)
Arithmetic
b)
Geometric
c)
Neither
16.
What is the common ratio in this sequence?
{96, 48, 24, 12, ... }
{96, 48, 24, 12, ... }
a)
1/2
b)
2
c)
12
d)
24
17.
What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...
400, 200, 100, 50, 25, ...
a)
Arithmetic
b)
Geometric
c)
Neither
18.
What is the common ratio of the geometric sequence below?
5, 25, 125, 625...
5, 25, 125, 625...
a)
25
b)
20
c)
5
d)
4
19.
What is the common difference of the arithmetic sequence below?
-6, -1, 4, 9...
-6, -1, 4, 9...
a)
5
b)
-5
c)
-6
d)
1/5
20.
in the arithmetic sequence 6, 12, 18, 24..., which term is 120?
a)
100
b)
20
c)
30
d)
10
21.
Insert two arithmetic means of 55 and 118.
a)
80 and 82
b)
70 and 100
c)
76 and 97
d)
78 and 96
22.
Which arithmetic sequence best follows the sequence
-5, -3, -1, 1, 3, 5...
-5, -3, -1, 1, 3, 5...
a)
2 -5(n-1)
b)
-5 +2(n-1)
c)
-5(2)n-1
d)
2(-5)n-1
23.
What formula best represents the sequence
14, 1, -12, -25, -38,
14, 1, -12, -25, -38,
a)
an= 14 - 13(n-1)
b)
an= 14 + 13(n-1)
c)
an= 14( -13)(n-1)
d)
an= 14(13)(n-1)
24.
x=3∑9(2x+2) How many terms are in the sequence?
a)
6
b)
7
c)
3
d)
2
25.
Calculate the final sum/total of the series.
a)
6
b)
21
c)
9
d)
2
26.
a)
196
b)
392
c)
49
d)
254
27.
Evaluate Sn:
28 + 35 + 42 + 49 + ..., n = 10
(Hint: is this arithmetic or geometric?)
a)
2384
b)
595
c)
1192
d)
1190
28.
Evaluate S8:
2 + 6 + 10 + 14 + ...
a)
128
b)
494
c)
256
d)
255
29.
Evaluate S12 for the arithmetic series where:
a1=?, a12=48, and d=4
a)
310
b)
312
c)
620
d)
624
30.
What is the sum of the first 10 terms for the following geometric series:
1+1/2+1/4+1/8+1/16+...
1+1/2+1/4+1/8+1/16+...
a)
0.999
b)
0.002
c)
9.8
d)
1.998
31.
Find the sum of a geometric series where
a1=4, r = -2 , an = 16,384
a)
-10,921.3333333
b)
10,922
c)
10,924
d)
-10,924
32.
Evaluate sum S8:
a1=?, a8=839,808, r= -6
a)
717456
b)
719835
c)
665624
d)
668938
33.
Evaluate the Arithmetic Series
a)
105
b)
210
c)
100
d)
420
34.
Find the sum for the following series.
a)
1.49
b)
3.14
c)
1.33
d)
1.66
35.
What is the value of r for the following sequence.
1/2+1/4+1/8+1/16+...
1/2+1/4+1/8+1/16+...
a)
2
b)
-2
c)
1/2
d)
-1/2
36.
Find the sum for the following series.
a)
44
b)
-162
c)
-682
d)
324
37.
Find the sum, if possible
a)
-4/3
b)
4/15
c)
1
d)
not possible
38.
Determine whether the sequence converges or diverges. If it converges, give the limit.
a)
Diverges
b)
Converges to 1
c)
Converges to 1000
39.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
40.
Find the 10th term of this sequence:
{96, 48, 24, 12, ... }
{96, 48, 24, 12, ... }
a)
3/16
b)
1/2
c)
6
d)
3
41.
Find the sum if possible
a)
3
b)
2/3
c)
1/3
d)
not possible
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