Need help with Arithmetic and geometric sequence setting up

First term a=2, common difference d=3, formula
[tex]a_n = a + d(n-1) [/tex]
[tex]a_n = 2 + 3(n-1)[/tex]
[tex]a_{33} = 2 + 3(33-1) = 98[/tex]
Answer: 98
First five terms, first term 5, common ratio 2. Write down 5, keep multiplying by two until you've written down five terms.
Answer: 5 10 20 40 80
Savings plan. Anybody see the flaw in this plan?
First term 1, common ratio 5.
[tex]a_n = 1 \cdot 5^{n-1}[/tex]
[tex]a_8 = 5^7 = 78,125[/tex]
Answer: $78,125