Number rules

Algebra

Number rules

Postby Guest » Sun Jan 10, 2021 4:27 am

Hi all

Could anybody help me to find the rules and next number in this array?
2,3,4,6,6,9,8..

Thanks aloy
Guest
 

Re: Number rules

Postby Baltuilhe » Sun Jan 10, 2021 1:03 pm

Good afternoon!

[tex]\begin{array}{c|c|c}
\hline
\text{Numbers} & \text{Sum with last number} & \text{Difference with last number}\\
\hline
2 & - & -\\
3 & 2+3=5 & -\\
4 & 3+4=7 & 7-5=2\\
6 & 4+6=10 & 10-7=3\\
6 & 12 & 2\\
9 & 15 & 3\\
8 & 17 & 2\\
12 & 20 & 3\\
10 & 22 & 2\\
15 & 25 & 3\\
12 & 27 & 2\\
18 & 30 & 3\\
14 & 32 & 2\\
21 & 35 & 3\\
16 & 37 & 2\\
24 & 40 & 3\\
\hline
\end{array}[/tex]

So, two sequencies (Arithmetic Progressions), [tex]\color{red}+2[/tex] and [tex]\color{blue}+3[/tex]
[tex]\begin{array}{c}
\hline
\text{Numbers}\\
\hline
\color{red}{2}\\
\color{blue}{3}\\
\color{red}{4}\\
\color{blue}{6}\\
\color{red}{6}\\
\color{blue}{9}\\
\color{red}{8}\\
\color{blue}{12}\\
\color{red}{10}\\
\color{blue}{15}\\
\color{red}{12}\\
\color{blue}{18}\\
\color{red}{14}\\
\color{blue}{21}\\
\color{red}{16}\\
\color{blue}{24}\\
\hline
\end{array}[/tex]

Baltuilhe
 
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