SOLUTION: We define the sequence a recursively by setting a_1 = 10 and a_(i+1) = a_i + 4 for all i>= 1. what is the first five terms of this sequence.

Question 206237: We define the sequence a recursively by setting a_1 = 10 and a_(i+1) = a_i + 4 for all i>= 1. what is the first five terms of this sequence.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
We define the sequence a recursively by setting
and for all .
what is the first five terms of this sequence.


We are given .

Now we substitute  into

 and get





and now we substitute  and get





-------------------

Now we substitute  into

 and get





and now we substitute  and get




 
------------------

Now we substitute  into

 and get





and now we substitute  and get





----------------

Now we substitute  into

 and get





and now we substitute  and get





----------------


Now we substitute  into

 and get





and now we substitute  and get





----------------

So the first five terms are:

, , , , .

Edwin

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