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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).

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).

Advanced Engineering Mathematics
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).

Please help with questions 4-9

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