Question

21. SHORT ANSWER Write the next three terms of the arithmetic sequence below.

1, 9, 17, 25, 33, ...

Answer 1

41, 49, 57

Explanation:

there is a common difference d between consecutive terms, that is

d = 9 - 1 = 17 - 9 = 25 - 17 = 33 - 25 = 8

thus add 8 to a term to obtain the next term

33 + 8 = 41

41 + 8 = 49

49 + 8 = 57