d) a, 3D7-2" — п+2. 16. Find the solution to each of these recurrence relations with the given initial conditions. Use an iterative ap- proach such as that used in Example 10. a) a, = -a„-1, aŋ = 5 b) a, = a,-1 + 3, a, = 1 c) a, = a„-1 - n, a, = 4 d) a, = 2a,-1 - 3, a, = -1 e) a, = (n+ 1)a,-1,4 = 2 f) a, = 2na„-1, aŋ = 3 g) a, = -a„-1 + n – 1, a, = 7 17. Find the solution to each of these recurrence relations and 23. %3D %3D 24. Links initial conditions. Use an iterative approach such as that used in Example 10. a) a, = 3a,-1, a, = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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  1. e) 

    a(n)= (n+1)a(n-1) a(0)=2

    a1= (2+1)

    a2= (2+1)+1

   a3= (2+1)+1)+1

   a(n)= 2(n+1)!

f)

a(n)= 2na(n-1), a(0) = 3

a1=3(1)+1

A2 = 3(3(1)+1)+1

A3 =3(3(3(1)+1)+1)+1

a(n) = 3.2^n(n)!





g).

 a(n)= -a(n-1)+n-1 a(0)= 7

A(1) = -7+1-1

A(2)=-(-7+1-1)+2-1

A(3)=-(-(-7+1-1)+2-1)+3-1)

A(n) = ((n+1)/2)-8 

hey I was wondering someone could explain to me how to do c and d from this the full question is in the image attached 

d) a, 3D7-2" — п+2.
16. Find the solution to each of these recurrence relations
with the given initial conditions. Use an iterative ap-
proach such as that used in Example 10.
a) a, = -a„-1, aŋ = 5
b) a, = a,-1 + 3, a, = 1
c) a, = a„-1 - n, a, = 4
d) a, = 2a,-1 - 3, a, = -1
e) a, = (n+ 1)a,-1,4 = 2
f) a, = 2na„-1, aŋ = 3
g) a, = -a„-1 + n – 1, a, = 7
17. Find the solution to each of these recurrence relations and
23.
%3D
%3D
24.
Links
initial conditions. Use an iterative approach such as that
used in Example 10.
a) a, = 3a,-1, a, = 2
Transcribed Image Text:d) a, 3D7-2" — п+2. 16. Find the solution to each of these recurrence relations with the given initial conditions. Use an iterative ap- proach such as that used in Example 10. a) a, = -a„-1, aŋ = 5 b) a, = a,-1 + 3, a, = 1 c) a, = a„-1 - n, a, = 4 d) a, = 2a,-1 - 3, a, = -1 e) a, = (n+ 1)a,-1,4 = 2 f) a, = 2na„-1, aŋ = 3 g) a, = -a„-1 + n – 1, a, = 7 17. Find the solution to each of these recurrence relations and 23. %3D %3D 24. Links initial conditions. Use an iterative approach such as that used in Example 10. a) a, = 3a,-1, a, = 2
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