Let yn+1 = -0.6yn. Solve the given difference equation in terms of the initial value y0. Describe the behavior of the solution as n-- positive infinity.

Question

Let yn+1 = -0.6yn. Solve the given difference equation in terms of the initial value y0. Describe the behavior of the solution as n--> positive infinity.

usukidoll · Answer

haven't learned it yet... but this is a part of mathematical biology.

perl · Answer

Observe that y_{n+1}/y_n = -0.6, a constant. This tells us that the sequence {y_n} is a geometric sequence with common ratio r = -0.6, so the solution is

y_n = (y_0) (-0.6)^n, n = 0, 1, 2, ...

perl · Answer

what happens when n goes to infinity ?

tiffany_rhodes · Answer

yn goes to 0?

perl · Answer

yes :)

tiffany_rhodes · Answer

Alright, thanks for the help :)

perl · Answer

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