1. Find the first five terms of a sequence a,,a, a,,---a,--- satisfying the givenRecurrence 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,-29if n22, a, =1, a =2%3D(e) a, =7a1-12a+6,if n22, a, =5, a, =2%3Dn-2(f) a, = a+a-2+n,+ a2+n,if n22, a, =-I,, a, =1%3Dif n23, a, =2, a, =1 and a, =1%3D(g) a, =2a+a2+a3,%3Dn-1

according to our guidelines we can answer only three subparts, or first question and rest can be…

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

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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.2: Sequences, Series And Summation Notation

Problem 33E: Find the sum of the first five terms of the sequence with the given general term. an=n

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Question

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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