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.

We are given .

Now we substitute  into

 and get





and now we substitute  and get





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Now we substitute  into

 and get





and now we substitute  and get




 
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Now we substitute  into

 and get





and now we substitute  and get





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Now we substitute  into

 and get





and now we substitute  and get





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Now we substitute  into

 and get





and now we substitute  and get





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So the first five terms are:

, , , , .

Edwin