WorksheetsExploring Sequences in Mathematics
Total questions: 10
Worksheet time: 5mins
What is the 10th term of the arithmetic sequence 3, 7, 11, ...?
45
35
30
39
If the first term of a geometric sequence is 5 and the common ratio is 2, what is the 6th term?
80
320
40
160
Determine the sum of the first 20 terms of the arithmetic sequence 4, 8, 12, ...
840
600
1000
800
Find the common difference of the arithmetic sequence 15, 10, 5, ...
5
-5
-10
0
What is the formula for the nth term of a geometric sequence?
a_n = r^(n-1)
a_n = a_1 * n * r
a_n = a_1 * r^(n-1)
a_n = a_1 + r^(n-1)
If the 5th term of an arithmetic sequence is 20 and the common difference is 3, what is the first term?
8
15
12
5
Calculate the sum of the first 10 terms of the geometric sequence 1, 3, 9, ...
29524
512
100
27
What is the 7th term of the arithmetic sequence defined by the formula a_n = 2n + 1?
25
10
20
15
If the first term of a geometric sequence is 10 and the common ratio is 0.5, what is the 4th term?
1.25
2.5
5
0.625
How do you determine if a sequence is arithmetic or geometric?
A sequence is arithmetic if the terms are in increasing order; it is geometric if the terms are all positive.
A sequence is arithmetic if the first term is greater than the last term; it is geometric if the last term is a multiple of the first term.
A sequence is arithmetic if the differences between terms are constant; it is geometric if the ratios of consecutive terms are constant.
A sequence is arithmetic if the sum of the terms is constant; it is geometric if the product of the terms is constant.
