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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Sequences and Series
Geometric Sequences and Series
Warm-Ups
1
The sequence 2, 6, 24, 120, . . . is a geometric sequence.
A)
TRUE
B)
FALSE
2
For a
n
= 2
n
there is a common difference between adjacent terms.
A)
TRUE
B)
FALSE
3
The common ratio for the geometric sequence a
n
= 3(0.5)
n-1
is 0.5.
A)
TRUE
B)
FALSE
4
If a = 3(2)
-n+3
, then a
1
= 12.
A)
TRUE
B)
FALSE
5
In the geometric sequence a
n
= 3(2)
-n+3
we have r = 1/2.
A)
TRUE
B)
FALSE
6
The terms of a geometric series are the terms of a geometric sequence.
A)
TRUE
B)
FALSE
7
To evaluate ∑ 2i from i = 1 to i = 10, we must list all of the terms.
A)
TRUE
B)
FALSE
8
(1.0K)
A)
TRUE
B)
FALSE
9
10 + 5 + 5/2 + ... = 10/(1 - 1/2)
A)
TRUE
B)
FALSE
10
2 + 4 + 8 + 16 + ... = 2/(1 - 2)
A)
TRUE
B)
FALSE
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