Chapter 1.1, Problem 1MC

Mathematical Connections 1-2

a. If a fixed number is added to each term of an arithmetic sequence, is the resulting sequence an arithmetic sequence? Justify the answer.

b. If each term of an arithmetic sequence is multiplied by a fixed number, will the resulting sequence always be an arithmetic sequence? Justify the answer.

c. If the corresponding terms of two arithmetic sequence are added, is the resulting sequence arithmetic?