Question

The rule of the following sequence is k = 3n − 1. What is the tenth term of the sequence?

2, 5, 8, 11, ...
b. Analyze What pattern do you recognize in this sequence?

Answer 1

29

Explanation:

Answer 2

a. 29

b. 3 is added each time

Explanation:

In the given rule, n represents the term number. So, when k=2, n would be 1 because it is the first term. Therefore, to find the 10th term, plug 10 in for n, then solve. The equation would look like
`k=3(10)-1` which equals 29.

The pattern for this type of sequence is known as the common difference because it is the amount that is added each term. You know this because when reading the sequence you can see that it is increasing by 3. Additionally, in the rule, 3 is being multiplied by n, this shows that 3 is the common difference/pattern.