1. Find the first five terms of a sequence a,a, ,a2,---a, – satisfying the given 61- Recurrence relation and initial conditions: if n21, a, =1 (a) a, = a,+4, (b) a, = a+2n, (c) a, = 2a +n², if n21, a, =5 %D if n21, a, =1 %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Find the first five terms of a sequence a,,a, a,,---a,--- satisfying the given
Recurrence relation and initial conditions:
if n21, a, =1
(a) a, = a+4,
%3D
(b) a, = a+2n,
if n21, a, =5
%3D
(c) a, =2a+ n°,
if n21, a, =1
(d) a, = a+4a,-29
if n22, a, =1, a =2
%3D
(e) a, =7a1-12a+6,
if n22, a, =5, a, =2
%3D
n-2
(f) a, = a+a-2+n,
+ a2+n,
if n22, a, =-I,
, a, =1
%3D
if n23, a, =2, a, =1 and a, =1
%3D
(g) a, =2a+a2+a3,
%3D
n-1
Transcribed Image Text:1. Find the first five terms of a sequence a,,a, a,,---a,--- satisfying the given Recurrence relation and initial conditions: if n21, a, =1 (a) a, = a+4, %3D (b) a, = a+2n, if n21, a, =5 %3D (c) a, =2a+ n°, if n21, a, =1 (d) a, = a+4a,-29 if n22, a, =1, a =2 %3D (e) a, =7a1-12a+6, if n22, a, =5, a, =2 %3D n-2 (f) a, = a+a-2+n, + a2+n, if n22, a, =-I, , a, =1 %3D if n23, a, =2, a, =1 and a, =1 %3D (g) a, =2a+a2+a3, %3D n-1
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