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WorksheetsExploring Sequences and Series
Total questions: 15
Worksheet time: 8mins
What is the common difference in the arithmetic sequence 3, 7, 11, 15?
2
6
4
5
Identify whether the sequence 2, 6, 18, 54 is arithmetic or geometric.
arithmetic
linear
quadratic
geometric
Calculate the sum of the first 10 terms of the arithmetic sequence 5, 10, 15, ...
300
250
225
275
What is the 7th term of the geometric sequence 4, 12, 36, ...?
108
432
2916
1458
If the first term of an arithmetic sequence is 2 and the common difference is 3, what is the 15th term?
44
50
32
38
Determine the sum of the series 1 + 2 + 3 + ... + 100.
2500
1000
505
5050
Is the sequence 1, 1/2, 1/4, 1/8 an arithmetic or geometric sequence?
geometric
quadratic
harmonic
arithmetic
Find the sum of the first 5 terms of the geometric sequence 3, 6, 12, ...
45
60
93
75
If a sequence is defined by the formula a_n = 5n + 2, what is the 10th term?
50
52
55
48
Calculate the sum of the series 2 + 4 + 8 + 16 + ... + 64.
120
126
128
100
What is the common ratio of the geometric sequence 5, 15, 45, ...?
3
4
5
2
If the 5th term of an arithmetic sequence is 20 and the common difference is 4, what is the first term?
8
4
12
16
Solve the real-world problem: A car depreciates in value by 15% each year. If the car's initial value is $20,000, what will its value be after 3 years?
$10,000
$15,000
$12,282.50
$18,000
Identify the 6th term of the arithmetic sequence 10, 15, 20, ...
30
35
40
25
Calculate the sum of the first 6 terms of the geometric sequence 1, 3, 9, 27, ...
256
364
120
512
