‫أيمن الحارثي‬
44003447
-‫ش‬
Answer the following questions:
:‫الاس ـ ــم‬
:‫الرقم الجامعى‬
2- ‫رياضيات‬
: ‫التسلسل‬
‫ كلية العلوم‬- ‫جامعة الطائف‬
‫ الرياضيات والاحصاء‬:‫قسم‬
Assignment 22 -‫خاص كلية الهندسة‬
I) Find the correct choice and enter your answer on the blow table
Which of the following is an improper integral?
a) ∫
b) ∫
c) ∫
d) ∫
) The first three terms of the sequence defined by the rule
a)
b)
c)
The formula for the general term
d)
of the sequence 7, 2,-3,-8,-
…
is:
a) an  5n  12
b) an  5n  7
c) an  5n  12
d) an  5n  7
Which of the following sequences are convergent?
 en 
 
n
5n 
) 

 2n  1 
a) None
 en 

n 
1  e 
b) 3 only.
c) 2 only.
d) 1 and
only
Which of the following series are convergent?

)

n

n 1 n  2
a) None

2

2
n 1 n  4
n
1
b) 3 only.
c) 2 only.
n 1
d) 1 and 2 only
Which of the following series are divergent?
(1)n 1

n 1 2n  1


)

1

n 1 2n  1
a) None
1
 n ln n
n2
b) 2 and 3 only.
c) 1 and 2 only.
d) 1 only.
Q
Ans
a
c
a
d
c
b
:‫الاس ـ ــم‬
II) -
-‫∫ ش‬
Determine whether
√
‫ كلية العلوم‬- ‫جامعة الطائف‬
‫ الرياضيات والاحصاء‬:‫قسم‬
:‫ الرقم الجامعى‬Assignment 22 -‫خاص كلية الهندسة‬
2- ‫رياضيات‬
: ‫التسلسل‬
is convergent
or divergent. If
it is convergent find its value.

1
) Consider the infinite geometric series  4  
n 1
n 1
3
1
a) Write the first four terms of the sequence 4  
3
n 1
.
b)Does the series diverge or converge ?
c) If the series has a sum, find the sum.
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