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WorksheetsSequence and series
Total questions: 12
Worksheet time: 42mins
Name
Class
Date
1.
What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?
a)
59,050
b)
-59,048
c)
-78,732
d)
118,096
2.
What is the twelfth term in the sequence 3, -6, 12, . . . ?
a)
-2,048
b)
6,144
c)
-6,144
d)
-531,441
3.
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?
a)
1,600
b)
18,235
c)
18,475
d)
19,125
4.
a)
149
b)
11,200
c)
5,600
d)
140
5.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
6.
In an arithmetic sequence if a15 =108 and d=7, find a1.
a)
14
b)
101
c)
206
d)
10
7.
Find Sn for the given series:
a1=22
d=-8
n=21
a1=22
d=-8
n=21
a)
1911
b)
-1449
c)
-2436
d)
-1218
8.
Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
9.
Find an explicit rule for the nth term of the sequence.
a)
an= -2(4)n-1
b)
an= -2(4)n
c)
an= 2(-4)n-1
d)
an= 2(4)n-1
10.
What is the rule for the nth term of the geometric sequence with third term –12 and common ratio 3
a)
–(4/3)(3)n-1
b)
–(3/4)(3)n-1
c)
–4(3)n-1
d)
–(1/3)(3)n-1
11.
Find an explicit rule for the nth term of the sequence.
a)
an= 15+(n-1)4
b)
an= -15+(n-1)4
c)
an= -15+(n-1)3
d)
an= 4n -19
12.
Find the explicit rule for the nth term of the sequence. The second and fifth terms of a geometric sequence are -24 and 1536, respectively.
a)
an= 6(-4)n-1
b)
an= 6×-4n-1
c)
an= 6(-4)n
d)
an= -6(4)n-1
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