d) an = 2an-1 - 3, ao = -1 e) an = (n + 1)an-1, ao = 2 f) an %3D %3D = 2nan-1, ao = 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
icon
Related questions
Question
#16 d e f
Draw
Highlight
Erase
and Matrices
er
c) an = 3(-1)" +2" – n + 2.
d) an = 7.2" - n + 2.
16. Find the solution to each of these recurrence relations with
the given initial conditions. Use an iterative approach such
as that used in Example 10.
as
ly
a) an = -an-1, ao = 5
k
b) an = an-1+3, ao = 1
c) an = an-–1 – n, ao = 4
d) an
e) an = (n + 1)an-1, ao = 2
f) an = 2na,-1, ao = 3
g) an = -an-1+n – 1, ao = 7
17. Find the solution to each of these recurrence relations and
initial conditions. Use an iterative approach such as that
used in Example 10.
ne
2an-1 – 3, ao =-1
r-
ne
r-
ch
a) an =
За,-1, ао
= 2
= an-1 +2, ao = 3
c) an = an-1+n, ao = 1
d) an — аn-1+2n + 3, aо 3 4
= 2an-1 – 1, ao = 1
3an-1 + 1, ao = 1
b) an
%3D
e) а, —
f) an
g) an 3 nа,-1, ао 3D 5
2nan-1, ao = 1
18. A person deposits $1000 in an account that yields 9%
interest compounded annually.
h) an =
a) Set up a recurrence relation for the amount in the ac-
Transcribed Image Text:Draw Highlight Erase and Matrices er c) an = 3(-1)" +2" – n + 2. d) an = 7.2" - n + 2. 16. Find the solution to each of these recurrence relations with the given initial conditions. Use an iterative approach such as that used in Example 10. as ly a) an = -an-1, ao = 5 k b) an = an-1+3, ao = 1 c) an = an-–1 – n, ao = 4 d) an e) an = (n + 1)an-1, ao = 2 f) an = 2na,-1, ao = 3 g) an = -an-1+n – 1, ao = 7 17. Find the solution to each of these recurrence relations and initial conditions. Use an iterative approach such as that used in Example 10. ne 2an-1 – 3, ao =-1 r- ne r- ch a) an = За,-1, ао = 2 = an-1 +2, ao = 3 c) an = an-1+n, ao = 1 d) an — аn-1+2n + 3, aо 3 4 = 2an-1 – 1, ao = 1 3an-1 + 1, ao = 1 b) an %3D e) а, — f) an g) an 3 nа,-1, ао 3D 5 2nan-1, ao = 1 18. A person deposits $1000 in an account that yields 9% interest compounded annually. h) an = a) Set up a recurrence relation for the amount in the ac-
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,