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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 a1 and common difference d is given by the formula an = a1 + nd.
A)TRUE
B)FALSE
5

If a1 = 5 and a3 = 10 in an arithmetic sequence, then a4 = 15.
A)TRUE
B)FALSE
6

If a1 = 6 and a3 = 2 in an arithmetic sequence, then a2 = 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