Question 172790: Find the 4th term of the given sequence (simplify completely).
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Take note that the first term is  , the second term is  , etc.
So the fourth term is  where 
So when  , then  (the previous term),  (the next previous term), and  (the next previous term)
a_{n-2}+\left(\frac{1}{3}\right)a_{n-3}) Start with the given equation
a_{2}+\left(\frac{1}{3}\right)a_{1}) Plug in , , , and (see above)
(3)+\left(\frac{1}{3}\right)1) Plug in  ,  , and  (these are given)
 Multiply
 Combine the fractions.
So the 4th term is
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