(SF) 12/93I: SEQUENCES AND SERIES:For each sequence, state if convergent or divergent and, if convergent,find the limit.1) a =n3) a9)=²-12n-n+7k=1(-For each series, find the sum.k-15)sin (17)nkk+5,n=1, 2, 3, ...2, n=1, 2, 3, ...16)8)23 an4)10)(k+1) (k+2)k=1k=1Use the integral test to decide if the following series converge.17)(k+4)ak=1=k=12n= 1, an+1,n=1,2,3,...kkk=1Test each of the following for convergence and name all tests you use.5kk!= a_+✓k+13k +12PAGE ONE11),n=1,2,3,...2k=1Determine if each of the following is absolutely convergent

since you have posted multiple question i can do first question as per our company guidelines please…

Answered: I: SEQUENCE For each sequence, state if…

Math

Calculus

I: SEQUENCE For each sequence, state if conver find the limit. 1) an = n²-1 2 2n -n+7 , n=1, 2, 3, ... N 2X

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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Question

(SF) 12/93
I: SEQUENCES AND SERIES:
For each sequence, state if convergent or divergent and, if convergent,
find the limit.
1) a =
n
3) a
9)
=
²-1
2n-n+7
k=1
(-
For each series, find the sum.
k-1
5)
sin (17)
n
k
k+5
,n=1, 2, 3, ...
2
, n=1, 2, 3, ...
1
6)
8)
23 an
4)
10)
(k+1) (k+2)
k=1
k=1
Use the integral test to decide if the following series converge.
1
7)
(k+4)
a
k=1
=
k=1
2n
= 1, an+1
,n=1,2,3,...
k
k
k=1
Test each of the following for convergence and name all tests you use.
5k
k!
= a_+
✓k+1
3
k +1
2
PAGE ONE
11)
,n=1,2,3,...
2
k=1
Determine if each of the following is absolutely convergent

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