Question

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.3,5,7,...

Answer 1

Step 1:

Arithmetic sequence

In an Arithmetic Sequence the difference between one term and the next is a constant.

Geometric sequence

Geometric Sequences. In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Step 2

The sequence is 3 , 5 , 7

`\begin{gathered} \text{Common difference = 2nd term - 1st term or 3rd term - 2nd term} \\ \text{= 5 - 3 = 2} \\ =\text{ 7 - 5 = 2} \end{gathered}`

Final answer

Since the common difference is constant, the sequence is Arithmetic sequence.