Sequence defined

Hello, and welcome to FMH! :)

I would write:

[MATH]a_1=5[/MATH]
[MATH]a_2=3(5)-2=13[/MATH]
[MATH]a_3=3(13)-2=37[/MATH]
Just for your own information, the closed form for this sequence is:

[MATH]a_n=4\cdot3^{n-1}+1[/MATH]
This will allow you to compute any term in the sequence without having to know the prior term.
 
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