Question

2 Use the sequence below to complete each task. 34, 25, 16, 7, ... a. Identify the common difference (a). b. Write an equation to represent the sequence. C. Find the 20th term (azo)

Answer 1

1) Let's consider the following sequence

34, 25, 16, 7,

a) Each term is decreased by -9 units so the common difference is -9

b) Let's write an explicit formula or equation to represent that Arithmetic Sequence:

a_n = 34 -9(n-1)

c) Finally, with that equation, let's find the 20th term, by plugging into the formula the data we need to find:

a_20 =34 -9(19)

a_20=34 -171

a_20=-137