1. ## Iterative calculations

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?

2. ## Re: Iterative calculations

Originally Posted by Schiavo
Hey, does anybody know a rule to find the limit of a series based on iterative calculations?
In mathematics, "series" usually refers to the sum of a sequence of numbers, not a sequence itself.

Originally Posted by Schiavo
I mean:

A = 0,5 B
B = 3 A
Do you mean the following recurrence relation?

$A_{n+1}=0.5B_n$
$B_{n+1}=3A_n$

In this case, $A_{n+2}=(3/2)A_n$ and $B_{n+2}=(3/2)B_n$, so both $A_n$ and $B_n$ tend to infinity.