Question

Is this a recursive pattern, a geometric sequence or a arithmetic sequence? Can it be solved? 624262832

Answer 1

Given an a geometric sequence or a arithmetic sequence;

$6,24,26,28,32,\ldots$

A sequence which follows a regular pattern can be described by a rule, or formula.

$\text{common difference= }\frac{a_{n+1}}{a_n}$

$\begin{gathered} \text{This 6,24,26,28,32, }\ldots \\ \text{This doesn't follow any regular pattern} \end{gathered}$$\begin{gathered} \frac{24}{6}=4 \\ \\ \frac{26}{24}=1.08333 \\ \\ \frac{28}{28}=1.0769 \\ \\ \frac{32}{28}=1.4287 \end{gathered}$

if we find the common difference also, it doesn't follow a regular pattern

$\text{common difference= a}_{n+1}-a_n$$\begin{gathered} 24-6=18 \\ 26-24=2 \\ 28-26=2 \\ 32-28=4 \end{gathered}$

The common difference is not same, Therefore it is not Is this a recursive pattern, a geometric sequence and it is not a arithmetic sequence