Question

Colin got a new video game. He scored 31 points on the first level, 31 points on the second level, 31 points on the third level, and 31 points on the fourth level. What kind of sequence is this? both, neither ,arithmetic, geometric​

Answer 1

Answer:

Both

Step-by-step explanation:

An arithmetic sequence is given by the next form:

$a_{n} = a_{1} + (n-1)d$

Where $a$ is the $n^{th}$ term of the sequence, $a_{1}$ the first term of the sequence and $d$ the common difference between terms.  

So the given sequence is of the form, because the common difference between terms is 0.

$a_{n} = 31 + (n - 1) 0 = 31$

A geometric sequence is given by the next form

$ar^0, ar^1, ar^2, ar^3, ar^4, \cdot \cdot \cdot$

When $r\neq 0$

In this occasion our $a=31$ and the $r = 1$

So both sequence represent the given one.