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?

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- Jul 13th 2012, 08:29 PMSchiavoIterative 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? - Jul 14th 2012, 02:55 PMemakarovRe: Iterative calculations
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.