SOLUTION: If f(1) = -3 and f(x+2) = 3*f(x) - 3, find f(9).
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-> SOLUTION: If f(1) = -3 and f(x+2) = 3*f(x) - 3, find f(9).
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Question 694648
:
If f(1) = -3 and f(x+2) = 3*f(x) - 3, find f(9).
Answer by
jim_thompson5910(35256)
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f(1) = -3
f(x+2) = 3*f(x) - 3
f(1+2) = 3*f(1) - 3
f(1+2) = 3*(-3) - 3
f(3) = -9 - 3
f(3) = -12
-------------------------------------------------------
f(x+2) = 3*f(x) - 3
f(3+2) = 3*f(3) - 3
f(5) = 3*(-12) - 3
f(5) = -36 - 3
f(5) = -39
-------------------------------------------------------
f(x+2) = 3*f(x) - 3
f(5+2) = 3*f(5) - 3
f(7) = 3*(-39) - 3
f(7) = -117 - 3
f(7) = -120
-------------------------------------------------------
f(x+2) = 3*f(x) - 3
f(7+2) = 3*f(7) - 3
f(9) = 3*(-120) - 3
f(9) = -360 - 3
f(9) = -363
So the answer is f(9) = -363
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