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Alchen [17]
3 years ago
15

F(n) = 2• (-3)^n

Mathematics
2 answers:
Mashutka [201]3 years ago
7 0

Answer:

f(1)=-6

f(n)=f(n-1)(-3)

Step-by-step explanation:

We are given that

f(n)=2\cdot (-3)^n

We have to complete  the recursive formula of f(n).

Substitute n=1

f(1)=2\cdot (-3)

f(1)=-6

f(2)=2\cdot (-3)^2=18

f(3)=2\cdot (-3)^3=-54

\frac{f(2)}{f(1)}=\frac{18}{-6}=-3

\frac{f(3)}{f(2)}=\frac{-54}{18}=-3

It forms geometric sequence because the ratio of two consecutive terms are equal.

Therefore, the recursive formula

f(n)=f(n-1)r

f(n)=f(n-1)(-3)

gtnhenbr [62]3 years ago
3 0

Answer:

f(1) = -6

f(n)= f(n−1)⋅ -3

Step-by-step explanation:

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