lolkimmyswag lolkimmyswag

15-03-2018
Mathematics

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Consider the geometric sequence below.

-21, 63, -189, 567, . . .

Complete the recursively defined function to describe the sequence.

Consider the geometric sequence below 21 63 189 567 Complete the recursively defined function to describe the sequence class=

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Professor1994 Professor1994

15-03-2018

f(1)=-21
n=2→f(2)=C.f(2-1)
63=C.f(1)
63=C.(-21)
Solving for C
63/(-21)=C.(-21)/(-21)
-3=C
C=-3

Answer:
f(1)=-21
f(n)= - 3 . f(n-1) for n=2, 3, 4, ...

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