WorksheetsARITHMETIC SEQUENCE, MEANS AND SERIES
Total questions: 20
Worksheet time: 20mins
Which of the following is the correct formula in finding the nth term of an arithmetic sequence?
an = a1 + (n - 1)d
an = a1 + (n + 1)d
an = a1 - (n + 1)d
an = a1 - (n - 1)d
What is the twelfth term in the sequence 3, -6, 12, . . . ?
-2,048
-6,144
6,144
-531,441
For n = 1,2,3 . . .the arithmetic sequence given by the equation an = (-3)n + 4, will produce the terms of the sequence:
{1, -2, -5, -8...}
{1, -5, -23, -77. . .}
{1, 13, -23, 85. . .}
{1, 10,-5, 85. . .}
In an arithmetic sequence if a15 =108 and d=7, find a1.
10
101
14
206
What is the nth term of the given the sequence:
25, 21, 17, 13,...
an = 4n + 29
an = -4n + 25
an = -4n + 29
an = 4n + 25
Find the arithmetic mean between 12 and 30
20
21
22
23
What is the arithmetic mean between x and x+12
x + 3
x + 4
x + 5
x + 6
Find the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?
59,050
-78,732
-59,048
118,096
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?
18,475
19,125
18,235
1,600
Insert two arithmetic means between 50 and 62
58,60
52,54
54,58
56,58
The arithmetic mean between two terms in an arithmetic sequence is 42. If one term is 30, what is the other term?
50
52
54
56
Find S14 of the sequence 7, 2, -3, ...
-945
-812
-357
119
Find Sn of the arithmetic sequence whose a1=22, d=-8 and
n=21.
1911
-1218
-1449
-2436
Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205
160, 175, 190
155, 165, 175
165, 185, 195
190, 175, 160
Find how many terms are in the series below:
7+13+19+25...=1044
16
17
18
19
Anna started saving P20 for the first week, P30 the second week, and so on, increasing P10 each week for 25 weeks. How much will be her savings after 25 weeks?
3,000
3,200
3,500
3,600
The next two terms of the sequence 4,7,10,13 are ....
16 and 19
16 and 18
15 and 19
15 and 18
What are the first 4 terms of an arithmetic sequence with a common difference of (-6) if the first term is 76?
76, 70, 64, 58
70, 64, 58, 52
76, 82, 88, 94
82, 88, 94, 100
Write down the nth term of the sequence 7, 13, 19, 25, 31, ...
n + 6
6n - 1
6n + 1
6n + 2
Write down the nth term of the sequence -15, -4, 7, 18, 29, ...
n - 16
11n - 26
11n -25
n + 11
