Question

The nth term of a different arithmetic sequence is 3n + 5

(b) Is 108 a term of this sequence? Show how you get your answer.

Answer 1

No 108 is not a term of this sequence.

Explanation:

3n+5 = 108

3n = 108 - 5

3n = 103

Divide both side with 3.

n = 103/3

n = 34.33

since n is not equal to 108 there it is not

Answer 2

see below

Explanation:

We can determine if 108 is a solution by setting 3n+5 =108

3n+5= 108

Subtract 5 from each side

3n+5-5=108-5

3n = 103

Divide by 3

3n/3 = 103/3

n = 103/3

This is not an integer so 108 is not a solutions