Thread: How to find the limit of recurrence relation

1. How to find the limit of recurrence relation

Hey, first off: I apologise if I've put this in the wrong section. I did a search to see if I could find a topic that could help me with my problem (unfortunately I couldn't find a topic that could satisfy my query) and similar questions seemed to have been posted in this section.

I need to find the limit of this recurrence relation:

$A_0=100, A_(n+1)-A_n=4.2(A_n)(1-(A_n/600)) (n=0,1,2,3....)$

In detail, what is the method for finding the limit of this sequence? Is there a general rule/formula for finding the limit of such recurrence relations?

Thanks.

2. Usually in such cases you have to define a general formula for x(i) and then use the definition of limit