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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Sequences and Series
Arithmetic Sequences and Series
Warm-Ups
1
The arithmetic sequence 3, 1, -1, -3, -5, . . . has common difference 2.
A)
TRUE
B)
FALSE
2
The sequence 2, 5, 9, 14, 20, 27, . . . is an arithmetic sequence.
A)
TRUE
B)
FALSE
3
The sequence 2, 4, 2, 0, 2, 4, 2, 0, . . . is an arithmetic sequence.
A)
TRUE
B)
FALSE
4
The nth term of an arithmetic sequence with first term a
1
and common difference d is given by the formula a
n
= a
1
+ nd.
A)
TRUE
B)
FALSE
5
If a
1
= 5 and a
3
= 10 in an arithmetic sequence, then a
4
= 15.
A)
TRUE
B)
FALSE
6
If a
1
= 6 and a
3
= 2 in an arithmetic sequence, then a
2
= 10.
A)
TRUE
B)
FALSE
7
An arithmetic series is the indicated sum of an arithmetic sequence.
A)
TRUE
B)
FALSE
8
The series ∑(3 + 2i) from i = 1 to i = 5 is an arithmetic series.
A)
TRUE
B)
FALSE
9
The sum of the first n counting numbers is n(n + 1)/2.
A)
TRUE
B)
FALSE
10
The sum of the even integers from 8 through 28 inclusive is 5(8 + 28).
A)
TRUE
B)
FALSE
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