SOLUTION: Find the 4th term of the given sequence (simplify completely).
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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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