Evaluate the infinite series

Question

anonymous · Answer

attachment

anonymous · Answer

A.	
 
24
 
 B.	
     -4/3

 C.	
     -8/5

 D.	
 
It does not have a sum.

anonymous · Answer

the series diverge

anonymous · Answer

im not so sure what ya mean there?

anonymous · Answer

it means that the larger $n$ gets the larger $6^n$ gets so you cannot add up an infinite number of larger and larger numbers and get a finite answer

anonymous · Answer

its going to be a fraction right?

anonymous · Answer

not only do the terms have to get smaller and smaller, they have to get smaller very fast f

anonymous · Answer

oh no

anonymous · Answer

it is not a fraction, it does not exist

anonymous · Answer

So that means that it will not have a sum ?

anonymous · Answer

imagine trying to add $5+5+5+...$ it is too large to add up forever

anonymous · Answer

yes, it will not have a sum

anonymous · Answer

oh okay, i understand now

anonymous · Answer

you can only add up an infinite number of numbers if they get small quickly
like for example 
$$1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...$$

anonymous · Answer

your numbers get larger and larger not smaller