# Iterative calculations

• July 13th 2012, 08:29 PM
Schiavo
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?
• July 14th 2012, 02:55 PM
emakarov
Re: Iterative calculations
Quote:

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.

Quote:

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.