http://bibliotecadigital.ilce.edu.mx/sites/telesecundaria/tsm01g01v01/u02t04s01.html
I wonder if there is a systematic way to get the formula of a sequence of dots in figures, to resolve it faster, and apply it to other figures.
Thanks!
sequences-and-series
http://bibliotecadigital.ilce.edu.mx/sites/telesecundaria/tsm01g01v01/u02t04s01.html
I wonder if there is a systematic way to get the formula of a sequence of dots in figures, to resolve it faster, and apply it to other figures.
Thanks!
Best Answer
To the get the linear equation of type:
In which, y is the number of total balls and x is the sequence element's number. If you have access to 2 elemnts and its corresponding number of balls simply solve this system of equations. For example, y(1)=6 and y(2)=10, then
So the final equation would be:
If you wante to calculate element 50, replace x with that value and you have the total number of balls:
This is the same method applied when you know 2 dots in a linear graph.