SOLUTION: If a sequence is defined recursively by g(3)= -2 and g(t+1)= -2g(t)-4 for t is less than or equal to 0, then g(0) is equal to what value?

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Question 953824: If a sequence is defined recursively by g(3)= -2 and g(t+1)= -2g(t)-4 for t is less than or equal to 0, then g(0) is equal to what value?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
g%283%29=-2g%282%29-4
-2=-2g%282%29-4
-2g%282%29=2
g%282%29=-1
So then,
g%282%29=-2g%281%29-4
-1=-2g%281%29-4
-2g%281%29=3
g%281%29=-3%2F2
So then,
g%281%29=-2g%280%29-4
-3%2F2=-2g%280%29-4
-2g%280%29=5%2F2
g%280%29=-5%2F4