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WorksheetsArithmetic and Geometric Sequences Quiz
Total questions: 61
Worksheet time: 31mins
The sequence 2, 4, 6, 8 is an arithmetic sequence.
True
False
The sequence 3, 6, 12, 24 is an arithmetic sequence.
True
False
The formula for the nth term of an arithmetic sequence is an = a₁ + (n-1)d.
True
False
In an arithmetic sequence, the common difference can be negative.
True
False
In a geometric sequence, the common ratio can be zero.
True
False
The sum of an arithmetic series can be found using Sₙ = n/2(a₁ + aₙ).
True
False
The sequence 1, 1, 2, 3, 5, 8 is a geometric sequence.
True
False
The arithmetic mean of 4 and 10 is 8.
True
False
A geometric series may have a finite sum if |r| < 1.
True
False
In generating patterns, a linear pattern will always produce a constant difference.
True
False
The fixed number added to each term of an arithmetic sequence to get the next term.
common difference
common ratio
arithmetic mean
geometric mean
The fixed number multiplied to each term of a geometric sequence to get the next term.
common difference
common ratio
arithmetic mean
geometric mean
The middle term between two terms in an arithmetic sequence.
common difference
common ratio
arithmetic mean
geometric mean
The middle term between two terms in a geometric sequence.
common difference
common ratio
arithmetic mean
geometric mean
The formula for the nth term of an arithmetic sequence.
aₙ = a₁ + (n - 1)d
aₙ = a₁ × rⁿ⁻¹
Sₙ = n/2 (a₁ + aₙ)
Sₙ = a₁(1 - rⁿ)/(1 - r)
The formula for the nth term of a geometric sequence.
aₙ = a₁ + (n - 1)d
aₙ = a₁ × rⁿ⁻¹
Sₙ = n/2 (a₁ + aₙ)
Sₙ = a₁(1 - rⁿ)/(1 - r)
The sum of the first n terms of an arithmetic sequence.
Sₙ = n/2 (a₁ + aₙ)
S = a₁ / (1 - r)
Sₙ = a₁(1 - rⁿ)/(1 - r)
aₙ = a₁ + (n - 1)d
The sum of the first n terms of a geometric sequence.
Sₙ = n/2 (a₁ + aₙ)
S = a₁ / (1 - r)
Sₙ = a₁(1 - rⁿ)/(1 - r)
aₙ = a₁ + (n - 1)d
The sum of an infinite geometric series where |r| < 1.
Sₙ = n/2 (a₁ + aₙ)
S = a₁ / (1 - r)
Sₙ = a₁(1 - rⁿ)/(1 - r)
aₙ = a₁ + (n - 1)d
A pattern in which the difference between consecutive terms is constant.
arithmetic sequence
geometric sequence
fibonacci sequence
linear function
What is the common difference in the sequence 5, 9, 13, 17?
3
4
5
8
Find the 10th term of the sequence 3, 7, 11, 15...
39
35
43
31
In the sequence 2, 6, 18, 54, what is the common ratio?
3
4
6
9
Find the 5th term of a geometric sequence with a₁=2 and r=4.
128
64
256
512
The arithmetic mean of 10 and 22 is:
15
16
17
18
The geometric mean of 8 and 18 is:
12
13
14
15
Which of the following is NOT an arithmetic sequence?
5,10,15,20
3,6,9,12
2,4,8,16
1,4,7,10
The geometric mean of 8 and 18 is:
12
13
14
15
Which of the following is NOT an arithmetic sequence?
5,10,15,20
3,6,9,12
2,4,8,16
1,4,7,10
What is the sum of the first 15 terms of the sequence 4, 7, 10...?
255
240
270
265
If a₁=5 and r=2, find S₆.
315
320
300
310
An infinite geometric series has a₁=12 and r=0.5. Find its sum.
20
22
24
26
What is the 12th term of the arithmetic sequence 7, 10, 13...?
40
43
46
49
The sum of the first 20 terms of 1, 4, 7, 10...
410
420
430
440
Find the 6th term of the geometric sequence 3, 6, 12, 24...
96
192
384
768
What is the sum of the first 8 terms of the arithmetic sequence 5, 8, 11, 14...?
116
124
132
140
The common ratio of the geometric sequence 2, 6, 18, 54...
3
4
5
6
Find the 4th term of an arithmetic sequence if a₁=12 and d=5.
27
30
33
35
Find the sum of the first 5 terms of a geometric sequence with a₁=4 and r=3.
364
364
364
364
What is the 7th term of the arithmetic sequence 9, 14, 19...?
44
49
54
59
Find the sum of the first 10 terms of the arithmetic sequence 1, 4, 7, 10...
145
160
175
190
The 3rd term of a geometric sequence is 24 and the 5th term is 96. Find the first term.
6
8
12
16
The sum of the first n terms of an arithmetic sequence with first term 7 and common difference 3 is 85. Find n.
5
6
7
8
Find the common difference of the arithmetic sequence 15, 12, 9, 6...
-3
-2
-1
1
What is the 8th term of the geometric sequence 1, 3, 9, 27...
6561
2187
729
243
Calculate the sum of the first 6 terms of the arithmetic sequence 2, 5, 8, 11...
63
66
69
72
What is the geometric mean between 16 and 81?
36
45
54
72
The 5th term of a geometric sequence is 243 and r=3. Find the first term.
1
3
9
27
Find the sum of the first 7 terms of the geometric sequence 2, 6, 18, 54...
1092
1458
2187
3280
Find the 3rd term of an arithmetic sequence if the first term is 4 and the 5th term is 12.
6
8
10
12
Find the sum of the first 12 terms of the arithmetic sequence 5, 8, 11, 14...
102
108
114
120
Find the 6th term of the geometric sequence with a₁=1 and r=2.
32
64
128
256
Find the sum of an infinite geometric series with a₁=5 and r=0.4.
8.33
8.34
8.35
8.36
Find the 10th term of the arithmetic sequence 1, 4, 7, 10...
28
31
34
37
Find the sum of the first 10 terms of the geometric sequence 3, 9, 27, 81...
295
299
302
305
Calculate the 4th term of the arithmetic sequence with a₁=7 and d=5.
22
23
24
25
Find the 5th term of a geometric sequence if a₁=6 and r=2.
48
96
192
384
Find the sum of the first 5 terms of the arithmetic sequence 2, 7, 12, 17...
35
40
45
50
Find the 7th term of the geometric sequence 1, 4, 16, 64...
256
512
1024
2048
Calculate the sum of the first 4 terms of the arithmetic sequence 10, 15, 20, 25...
70
75
80
85
Find the common ratio of the geometric sequence 9, 27, 81, 243...
2
3
4
5
