The function f(n) = 2", n = 1, 2, 3,... %3D %3D The function f(n) = n!, n 0, 1,2,... %3D The function f (n) = 5n + 2, n = 1,2, 3, ... %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Give a recursive definition with initial condition(s). The initial conditions can start at any appropriate number (i.e. you don’t necessarily need to start at 1)

The function f(n) = 2", n = 1, 2, 3,...
The function f(n) = n!, n = 0, 1, 2,...
The function f(n) = 5n +2, n = 1, 2, 3, ...
The sequence ai = 16, a2 = 13, az =
10, a4 = 7, ...
%3D
The Fibonacci numbers 1, 1, 2, 3, 5, 8, 13,
...
The set S, = {0, 3, 6, 9,..., 3n}, n= 0, 1, 2, ...
The set Sn = {1, 5, 9, 13, 17, ..., 1+ 4n}, n = 0, 1, 2, ...
The set S, = {1, 1/3, 1/9, 1/27, ..., 1/3"}, n = 0, 1, 2,...
The set S, = {-2n,...,-4, -2,0, 2, 4, 6,..., 2n}, n = 0, 1, 2, ...
Transcribed Image Text:The function f(n) = 2", n = 1, 2, 3,... The function f(n) = n!, n = 0, 1, 2,... The function f(n) = 5n +2, n = 1, 2, 3, ... The sequence ai = 16, a2 = 13, az = 10, a4 = 7, ... %3D The Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, ... The set S, = {0, 3, 6, 9,..., 3n}, n= 0, 1, 2, ... The set Sn = {1, 5, 9, 13, 17, ..., 1+ 4n}, n = 0, 1, 2, ... The set S, = {1, 1/3, 1/9, 1/27, ..., 1/3"}, n = 0, 1, 2,... The set S, = {-2n,...,-4, -2,0, 2, 4, 6,..., 2n}, n = 0, 1, 2, ...
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