# Convergent and divergent series.

• Mar 5th 2013, 02:05 PM
weijing85
Convergent and divergent series.
If {an} is a sequence such that limn-> infinitity (an+1}/{an} = C, where |C| <1, what is limn-> infinity an?

Anyone can help?
Think it is convergent...

-Bruce
• Mar 5th 2013, 02:15 PM
Plato
Re: Convergent and divergent series.
Quote:

Originally Posted by weijing85
If {an} is a sequence such that limn-> infinitity (an+1}/{an} = C, where |C| <1, what is limn-> infinity a[SUB]n?

Anyone can help?
Think it is convergent...

Do you really mean $\mathop {\lim }\limits_{n \to \infty } \frac{{{a_{n + 1}}}}{{{a_n}}} = C$

because you posted $\mathop {\lim }\limits_{n \to \infty } \frac{{{a_{n }+1}}}{{{a_n}}} = C~?$
• Mar 5th 2013, 11:07 PM
weijing85
Re: Convergent and divergent series.
Yupz
• Mar 5th 2013, 11:09 PM
weijing85
Re: Convergent and divergent series.
Actually its = lambda.
• Mar 6th 2013, 02:05 AM
weijing85
Re: Convergent and divergent series.
Anyway i just solved, the answer is 0.