November 1st, 2007
Welcome toThe Candy Carnival
Quiz 4 ReviewQuiz 4 Review
JEOPARDYHide and
SeqSerial Killers
Your Call Potpourri
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
FINAL JEOPARDY
Hide and Seq (100)
Find the rule for the nth term:
€
−2
3,
4
15, −
8
75,
16
375, ...
Hide and Seq (200)
Find the rule for the nth term:
€
3
2,
5
4,
7
6,
9
8,...
Hide and Seq (300)
Determine whether the sequence converges or diverges.
€
lnn
n
⎧ ⎨ ⎩
⎫ ⎬ ⎭n=1
∞
Hide and Seq (400)
Determine whether the sequence converges or diverges.
€
sin1
n
⎛
⎝ ⎜
⎞
⎠ ⎟
⎧ ⎨ ⎩
⎫ ⎬ ⎭n=1
∞
Serial Killers (100)
Find the sum of the series or show that it diverges.
€
(−6)n
52nn=1
∞
∑
Serial Killers (200)
Determine whether the series converges or diverges.
€
n
n2 +1n=1
∞
∑
DAILY DOUBLE
Serial Killers (300)
Find the sum of the series or show that it diverges
€
1
2−
2
3+
3
4−
4
5+L
Serial Killers (400)
Find the sum of the series or show that it diverges.
€
2n − 3n
5nn=0
∞
∑
Your Call (100)
Give an example of a convergent sequence.
Your Call (200)
Give an example of a geometric series that does not converge.
DAILY DOUBLE
Your Call (300)
Give an example of a divergent series whose terms converge to 0.
Your Call (400)
Find a function f(x) such that
is undefined BUT
€
limx→∞
f (x)
€
f (n){ }n=1
∞converges.
Potpourri (100)
Find a geometric series whose sum equals
€
0.17
Find the first four partial sums of the series, then determine the sum of the series.
€
1
n(n+1)n=1
∞
∑
Potpourri (200)
Potpourri (300)
Find the next number in the sequence.
4, 8, 15, 16, 23, …
Potpourri (400)
Determine the values of x for which the series converges.
€
−3
x
⎛
⎝ ⎜
⎞
⎠ ⎟
n=1
∞
∑n
FINAL JEOPARDY
Draw a picture showing that
€
1
nn=1
∞
∑ >1
xdx
1
∞
∫