MATH 102: Recitation Class Problems
Instructions:
I.
Before going to Recitation Class, the students should
1. copy each problem on a separate sheet,
2. read the statement of each problem before coming to the class.
II.
During the Recitation Class, the students should
1. sit in the assigned group,
2. sign attendance sheet,
3. discuss problems with each other in the group,
4. solve all the assigned problems,
5. be prepared to present solution of any question on blackboard,
6. be prepared to write a short quiz at the end of class.
Problems for Week 7
Q. 1. Using an appropriate test, check if the sequence
 
8k
 2 k !

k 1
is increasing or
decreasing.
Q. 2. Using an appropriate test, check if the sequence is eventually increasing or
eventually decreasing
 

3n 10
.
2
n 5 n 1
Also, find the value of n after which it is
increasing or eventually.
Q. 3. Does the limit of following sequences exist. If so, evaluate:
 

n

i. n 3
, ii.   2 k11  2 k13  .
n 1
 k 1
n 1
th
1
1
1
Q. 4. Find the sequence of n partial sum of the series 2.4
 3.5
 4.6

form if possible, and Check if it converges.
 2n

in compact
Q. 5. Express 2.3517208208208… as a fraction.

Q. 6. Find the n Partial Sum of series   2 x  . For what values of x this series is
th
n 1
convergent?
n