SOLUTION: suppose A1=2 and A(n+1)=3A(n)+2. Write the first five terms of the sequence. Then write an explicit formula for An.

Question 935569: suppose A1=2 and A(n+1)=3A(n)+2. Write the first five terms of the sequence. Then write an explicit formula for An.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
THAT makes better sense. Start at n=1, use the formula, and work forward.

You find the next three terms.

You also wanted to find the explicit formula.
On paper, the process of composing the first few successive terms is messy. I found for the fifth term, This:

I can guess, if this remains workable, that the pattern is apparent. This seems to be based on the sum of a geometric sequence.
...
Fifth term should be 242.
I would guess along the apparent formula that the sixth term would be 728.
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