SOLUTION: Give the first five terms of the sequence in which: {{{a[1]=4}}},{{{a[n+1] = -2a[n]+3}}} for n > 1

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Question 974220: Give the first five terms of the sequence in which:
a%5B1%5D=4,a%5Bn%2B1%5D+=+-2a%5Bn%5D%2B3 for n > 1
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Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Give the first five terms of the sequence in which:
a%5B1%5D=4,a%5Bn%2B1%5D+=+-2a%5Bn%5D%2B3 for n > 1
a%5B1%5D=4,a%5Bn%2B1%5D+=+-2a%5Bn%5D%2B3

Plug in 1 for n, and 4 for a1 in

a%5Bn%2B1%5D+=+-2a%5Bn%5D%2B3
a%5B1%2B1%5D+=+-2a%5B1%5D%2B3
a%5B2%5D+=+-2%284%29%2B3
a%5B2%5D+=+-8%2B3
a%5B2%5D+=+-5

Plug in 2 for n, and -5 for a2 in

a%5Bn%2B1%5D+=+-2a%5Bn%5D%2B3
a%5B2%2B1%5D+=+-2a%5B2%5D%2B3
a%5B3%5D+=+-2%28-5%29%2B3
a%5B3%5D+=+10%2B3
a%5B3%5D+=+13

Plug in 3 for n, and 13 for a3 in

a%5Bn%2B1%5D+=+-2a%5Bn%5D%2B3
a%5B3%2B1%5D+=+-2a%5B3%5D%2B3
a%5B4%5D+=+-2%2813%29%2B3
...
You finish!

Plug in 4 for n, and ?? for a4 in

a%5Bn%2B1%5D+=+-2a%5Bn%5D%2B3
a%5B4%2B1%5D+=+-2a%5B4%5D%2B3
...
You finish!

Edwin