SOLUTION: Find the first five terms of the sequence given the following recursive formula: a1=8, and an=10-3an-1, for n

SOLUTION: Find the first five terms of the sequence given the following recursive formula: a1=8, and an=10-3an-1, for n_>2

Question 1085313: Find the first five terms of the sequence given the following recursive formula: a1=8, and an=10-3an-1, for n_>2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We start with the first term (a1 = 8). To get the second term we plug it into the generating formula an = 10-3*(a(n-1)) which basically says "current term = 10 minus 3*(previous term)"

The rest of the terms are generated in a similar manner. They depend on the previous term.

So this is what the first five terms will look like:
a1 = 8
a2 = 10-3*(a1) = 10-3*(8) = -14
a3 = 10-3*(a2) = 10-3*(-14) = 52
a4 = 10-3*(a3) = 10-3*(52) = -146
a5 = 10-3*(a4) = 10-3*(-146) = 448

The first five terms of the sequence are 8, -14, 52, -146, 448
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