Find ƒ(2), ƒ(3), ƒ(4), and ƒ(5) if f is defined recur- sively by f(0) = -1, f(1) = 2, and for n = 1, 2, ... a) f(n+1) = f(n) +3f(n − 1). b) f(n+1) = f(n)² ƒ (n − 1). c) f(n + 1) = 3ƒ (n)² – 4 ƒ (n − 1)². f(n+1) = f(n − 1)/ƒ (n). d) -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Find ƒ(2), fƒ(3), ƒ(4), and f(5) if f is defined recur-
sively by f(0) = -1, f(1) = 2, and for n = 1, 2, ...
a) f(n+1) = f(n) +3f(n-1).
b) f(n + 1) = f(n)² ƒ (n − 1).
c) f(n+1) =
-
3ƒ (n)² – 4ƒ (n − 1)².
d) f(n + 1) = f(n − 1)/ƒ (n).
Transcribed Image Text:3. Find ƒ(2), fƒ(3), ƒ(4), and f(5) if f is defined recur- sively by f(0) = -1, f(1) = 2, and for n = 1, 2, ... a) f(n+1) = f(n) +3f(n-1). b) f(n + 1) = f(n)² ƒ (n − 1). c) f(n+1) = - 3ƒ (n)² – 4ƒ (n − 1)². d) f(n + 1) = f(n − 1)/ƒ (n).
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