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Answer:
f(1) = 5
f(n) = f(n-1)·(-2)
Step-by-step explanation:
The explicit formula ...
[tex]f(n)=5\cdot(-2)^{n-1}[/tex]
tells you that ...
f(1) = 5
f(n) = f(n-1)·(-2)
_____
If you like, you can find f(n)/f(n-1) using the explicit formula.
[tex]\dfrac{f(n)}{f(n-1)}=\dfrac{5\cdot(-2)^{n-1}}{5\cdot{(-2)^{(n-1)-1}}}=\dfrac{5(-2)^n(-2)^{-1}}{5(-2)^n(-2)^{-2}}=(-2)^{-1+2}=-2\\[/tex]
This tells you that f(n) = -2·f(n-1), as above.
Answer:
f(1) = 5
f(n) = f(n-1)·(-2)
Step-by-step explanation:
