Quiz #2
Sequences and Series
Name:
Show enough work that I can reproduce your results.
TI 30 calculator allowed.
1.
1 4
9 16 25
 



5 10 20 40 80
Write the series in  notation:
n
2.
Let an  4n  1 and Sn 
a
k
.
k 1
a. Write out the terms of an n 1 .
4
b. Write out the terms of S n n 1 .
4
c. Find the value of S50 .
n
3.
For a given series the sequence of partial sums is,
Sn   ak . Given S n  n 2
k 1
a. find
a5 ,
b. find
a100
4. Evaluate each infinite sum or explain why it is not possible:

2
a.   
k 1  3 

b.
2

  k  (k  1) 
k 1

3k 1

k
k 1 2

c.
2
k
