Hey, does anybody know a rule to find the limit of a series based on iterative calculations?
I mean:
A = 0,5 B
B = 3 A
When the number of iteractions = infinite, what will be the values of A and B?
In mathematics, "series" usually refers to the sum of a sequence of numbers, not a sequence itself.
Do you mean the following recurrence relation?
$\displaystyle A_{n+1}=0.5B_n$
$\displaystyle B_{n+1}=3A_n$
In this case, $\displaystyle A_{n+2}=(3/2)A_n$ and $\displaystyle B_{n+2}=(3/2)B_n$, so both $\displaystyle A_n$ and $\displaystyle B_n$ tend to infinity.