Question

Find the next three terms of the arithmetic sequence.

10, 13, 16, 19, . . .

Question 9 options:

a)

16, 13, 10


b)

17, 20, 23


c)

22, 25, 28


d)

23, 26, 29

Answer 1

c

Explanation:

There is a common difference d between consecutive terms of an arithmetic sequence, that is

d = 13 - 10 = 16 - 13 = 19 - 16 = 3

To obtain the next term add the common difference 3 to the previous term.

a₅ = a₄ + 3 = 19 + 3 = 22

a₆ = a₅ + 3 = 22 + 3 = 25

a₇ = a₆ + 3 = 25 + 3 = 28

The next 3 terms are 22, 25, 28 → c