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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. a) an = -an-1, ao = 5 | b) an = an-1+3, ao = 1 c) an = an-1– n, ao = 4 %3D %3D

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. a) an = -an-1, ao = 5 | b) an = an-1+3, ao = 1 c) an = an-1– n, ao = 4 %3D %3D

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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dloud 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 3D - а,-1 + п — 1, ао — 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 = 3an-1, ao = 2 = an-1 +2, ao = 3 c) an = an-1+n, ao = 1 d) an — аn-1+2n + 3, aо 3 4 = 2a,–1 – 1, ao = 1 3an-1 + 1, ao = 1 b) an %3D e) an = f) an g) an 3 nа, -1, ао 3D 5 h) an 2nan-1, ao = 1 18. A person deposits $1000 in an account that yields 9% interest compounded annually. a) Set up a recurrence relation for the amount in the ac-
Transcribed Image Text:dloud 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 3D - а,-1 + п — 1, ао — 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 = 3an-1, ao = 2 = an-1 +2, ao = 3 c) an = an-1+n, ao = 1 d) an — аn-1+2n + 3, aо 3 4 = 2a,–1 – 1, ao = 1 3an-1 + 1, ao = 1 b) an %3D e) an = f) an g) an 3 nа, -1, ао 3D 5 h) an 2nan-1, ao = 1 18. A person deposits $1000 in an account that yields 9% interest compounded annually. a) Set up a recurrence relation for the amount in the ac-
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