Question

Select the correct answer. Which type of sequence is shown? 5, 10, 15, 20, 25,... arithmetic both arithmetic and geometric neither arithmetic nor geometric geometric

Answer 1

Given the sequence;

`5,10,15,20,25,...`

An arithmetic sequence is a sequence with a common difference, d. And a geometric sequence is a sequence with a common ratio, r.

`\begin{gathered} d=a_2-a_1=a_3-a_2 \\ \\ d=10-5=15-5 \\ \\ d=5 \end{gathered}`

While;

`\begin{gathered} r=(a_2)/(a_1)=(a_3)/(a_2) \\ \\ (10)/(5)\\e(15)/(10) \end{gathered}`

Hence, the sequence has only a common difference.

CORRECT OPTION: Arithmetic