Transcript Document 7383473

General
Sequence/Series
Arithmetic
Sequences
Arithmetic Series
Geometric
Sequences
Geometric
Series
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Final Jeopardy
100 Category 1
3, 6, 9, ___, ___,___
Answer
Answer 100 Category 1
3, 6, 9, 12, 15, 18
200 Category 1
Answer
Answer 200 Category 1
3
300 Category 1
Answer
Answer 300 Category 1
arithmetic
400 Category 1
Answer
Answer 400 Category 1
6,138
500 Category 1
1,1,2,3,5,8 , ___,
___,___
Answer
Answer 500 Category 1
1,1,2,3,5,8 , 13, 21,34
100 Category 2
Write the rule that generates an
arithmetic sequence where
a1= 10 and d = 3
Answer
Answer 100 Category 2
Write the rule that generates an
arithmetic sequence where
a1= 10 and d = 3.
an = 7 + 3n
200 Category 2
Write the rule that generates an
arithmetic sequence where
a3= 15 and d = -2
Answer
Answer 200 Category 2
Write the rule that generates an
arithmetic sequence where
a3= 15 and d = -2
an = 21 - 2n
300 Category 2
Write the first 5 terms
for an=6+5n
Answer
Answer 300 Category 2
Write the first 5 terms
for an=6+5n
11, 16, 21, 26, 31
400 Category 2
Find a20 for
10, 6, 2, -2...
Answer
Answer 400 Category 2
Find a20 for
10, 6, 2, -2…
an =14 - 4n
so a20 = 14 - 4(20) = -66
500 Category 2
Write the rule that generates an
arithmetic sequence where
a3 = 5 and a7 = 9
Answer
Answer 500 Category 2
Write the rule that generates an
arithmetic sequence where
a3 = 5 and a7 = 9
__,__,5,__,__,__,9
d = (9-5)/(7-3) =1
an = 2 +1n
100 Category 3
Find the S3 for
10, 8, 6...
Answer
Answer 100 Category 3
Find the S3 for
10, 8, 6…
10+8+6 =24
200 Category 3
Find the S5 for
3,7,11,15...
Answer
Answer 200 Category 3
Find the S5 for
3,7,11,15…
3+7+11+15+19=55
or 5/2(3+19)=55
300 Category 3
Find the S7
if an = 2 - 3n
Answer
Answer 300 Category 3
Find the S7
if an = 2 - 3n
-1+ -4+-7+-10+-13+-16+-19= -70
400 Category 3
Answer
Answer 400 Category 3
500 Category 3
Find the sum of the first 25 terms of
the sequence:
Answer
Answer 500 Category 3
Find the sum of the first 25 terms of
the sequence:
650
100 Category 4
Write the rule that
generates a geometric
sequence where r = 6
and a1 =7…
then find a10.
Answer
Answer 100 Category 4
200 Category 4
Write the rule for
2, 10, 50, 250...
Answer
Answer 200 Category 4
Write the rule for
2, 10, 50, 250…
an =
n-1
2(5)
300 Category 4
Write the rule for
360,120, 40...
Answer
Answer 300 Category 4
Write the rule for
360,120, 40…
an
n-1
= 360(1/3)
400 Category 4
Write out the
first 5 terms if
an =
Answer
n-1
3(2)
Answer 400 Category 4
Write out the
first 5 terms if
an =
n-1
3(2)
3, 6, 12, 24, 48
500 Category 4
Find the 2
geometric means
between 3 and
648
Answer
Answer 500 Category 4
Find the 2
geometric means
between 3 and 648
3, , ,648
18,108
100 Category 5
Find the S3 for
5, 30, 180
Answer
Answer 100 Category 5
Find the S3 for
5+ 30+ 180=215
200 Category 5
Find the S5 for
10, -30, 90, -270
Answer
Answer 200 Category 5
Find the S5 for
10+ -30+ 90+
-270+810=610
300 Category 5
Find the S7 for
200,100,50...
Answer
Answer 300 Category 5
Find the S7 for
200+100+50+25+
25/2+25/4+25/8
=396.875
400 Category 5
Answer
Answer 400 Category 5
500 Category 5
If you play the stock market and
you earn $1600 the first day, you
lose $800 the next day. On the
third day you earn $400. If this
pattern continues what will be
your total earned (or lost) after 5
days?
Answer
Answer 500 Category 5
$1600+-800+400+-200 +100
= 1100
Double Jeopardy
Find the 3
geometric means
between 2 and
1250
Answer
Double Jeopardy Answer
Find the 3 geometric
means between 2 and
1250
2, , , ,1250
10,50,250
Final Jeopardy
If you play the stock market and you
earn $1600 the first day, you earn
$800 the next day. On the third day
you earn $400. If this pattern
continues on what day will you no
longer make even a penny?
Answer
Final Jeopardy
1600,800,400,200,100,50,25,
25/2, 25/4,25/8, 25/16,…on the
17th day you make .02
19th day .0061
20th day .00305
sn = 1600(1/2)n-1
sn = 1600(1/2)20-1 =.00305