1. Find the first five terms of a sequence a1, a2, .an,. satisfying the given Recurrence relation and initial conditions: (a) an = an-1 + 4, if n > 1, áo =1) 6) an = an-1 + 2n, if n 1, a, = 5 v (c) an = 2an-1 +n², if n2 1, a, = 1 (d) an = an-1 + 4an-2, if n > 2, ao = 1, a1 = 2 (e) an = 7an-1 – 12an-2 + 6, if n2 2, ao = 5, a, = 2 (E) an = an-1 + an-2 + n, if n2 2, ao = -1, a = 1 (h) an = 2an-1 + an-2 + an-3, %3D = Homer %3D if n2 3, ao = 2, a, =1 and az = 1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I need to solve b.c.d.e.f.h
EXERCISE
I,5,9, 13,17, 2)
13
17
a,
+4
1. Find the first five terms of a sequence a,, a2, an, … satisfying the given
Recurrence relation ang initial conditions:
= ao+4
...
...
(a) an = an-1+4, if n > 1, á, =1)
6) an = an-1 + 2n, if n 1, a, = 5 n
(s) an = 2an-1+n², if n> 1, ao = 1
d) an = an-1 + 4an-2, if n2 2, ao = 1, a1 = 2
fe) an =
7an-1
12аn-2 + 6, if n>2, ao %3D 5, а, 3D 2
Homewm
(f) an = an-1 + an-2 + n, if n2 2, ao = -1, a, = 1
(h) an = 2an-i+ an-2 + an-3, if n2 3, ao = 2, a, =1 and az = 1
befune
Satnday
9.00pm
Transcribed Image Text:EXERCISE I,5,9, 13,17, 2) 13 17 a, +4 1. Find the first five terms of a sequence a,, a2, an, … satisfying the given Recurrence relation ang initial conditions: = ao+4 ... ... (a) an = an-1+4, if n > 1, á, =1) 6) an = an-1 + 2n, if n 1, a, = 5 n (s) an = 2an-1+n², if n> 1, ao = 1 d) an = an-1 + 4an-2, if n2 2, ao = 1, a1 = 2 fe) an = 7an-1 12аn-2 + 6, if n>2, ao %3D 5, а, 3D 2 Homewm (f) an = an-1 + an-2 + n, if n2 2, ao = -1, a, = 1 (h) an = 2an-i+ an-2 + an-3, if n2 3, ao = 2, a, =1 and az = 1 befune Satnday 9.00pm
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