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Patterns Arithmetic Series
Geometric Sequences10
0200300400
500
100
300400
500
100200300400
500
100200300400
500
100200300400
500
Arithmetic Sequence
s
Geometric Series
200
Final Jeopardy
100 Category 1100 Category 1
Answer
3, 6, 9, ___, ___,___
Answer 100 Category 1Answer 100 Category 1
3, 6, 9, 12, 15, 18
200 Category 1200 Category 1
Answer
20, 12, 4 , ___, ___,___
Answer 200 Category 1Answer 200 Category 1
20, 12, 4 , -4, -12, -20
300 Category 1300 Category 1
Answer
800, 400, 200, , 800, 400, 200, , ___, ___,______, ___,___
Answer 300 Category 1Answer 300 Category 1
800, 400, 200, 100, 800, 400, 200, 100, 50,2550,25
400 Category 1400 Category 1
Answer
3, 5, 8, 12, ___, 3, 5, 8, 12, ___, ___,______,___
Answer 400 Category 1Answer 400 Category 1
3, 5, 8, 12, 17, 3, 5, 8, 12, 17, 23,3023,30
500 Category 1500 Category 1
Answer
1,1,2,3,5,8 , ___, 1,1,2,3,5,8 , ___, ___,______,___
Answer 500 Category 1Answer 500 Category 1
1,1,2,3,5,8 , 13, 1,1,2,3,5,8 , 13, 21,3421,34
100 Category 2100 Category 2
Answer
Write the rule if Write the rule if aa11= 10 d = 3= 10 d = 3
Answer 100 Category 2Answer 100 Category 2
Write the rule if Write the rule if aa11= 10 d = 3= 10 d = 3aann = 7 + 3n = 7 + 3n
200 Category 2200 Category 2
Answer
Write the rule ifWrite the rule ifaa33= 15 d = -2= 15 d = -2
Answer 200 Category 2Answer 200 Category 2
Write the rule ifWrite the rule ifaa33= 15 d = -2= 15 d = -2aann = 21 - 2n = 21 - 2n
300 Category 2300 Category 2
Answer
Write the first 5 Write the first 5 terms for aterms for ann=6+5n=6+5n
Answer 300 Category 2Answer 300 Category 2
Write the first 5 Write the first 5 terms for aterms for ann=6+5n=6+5n11, 16, 21, 26, 3111, 16, 21, 26, 31
400 Category 2400 Category 2
Answer
Find aFind a2020 for for 10, 6, 2, -2... 10, 6, 2, -2...
Answer 400 Category 2Answer 400 Category 2Find aFind a2020 for for 10, 6, 2, -2… 10, 6, 2, -2…aann =14 - 4n =14 - 4n
so aso a20 = 14 - 4(20) = -6620 = 14 - 4(20) = -66
500 Category 2500 Category 2
Answer
Find the rule if aFind the rule if a33 = = 5 and a5 and a77 = 9 = 9
Remember this is an Remember this is an arithmetic categoryarithmetic category
Answer 500 Category 2Answer 500 Category 2
Find the rule if aFind the rule if a33 = 5 = 5 and aand a77 = 9 = 9
__,__,5,__,__,__,9__,__,5,__,__,__,9d = (9-5)/(7-3) =1d = (9-5)/(7-3) =1
aann = 2 +1n = 2 +1n
100 Category 3100 Category 3
Answer
Find the SFind the S33 for for 10, 8, 6...10, 8, 6...
Answer 100 Category 3Answer 100 Category 3
Find the SFind the S33 for for 10, 8, 6…10, 8, 6…
10+8+6 =2410+8+6 =24
200 Category 3200 Category 3
Answer
Find the SFind the S55 for for 3,7,11,15...3,7,11,15...
Answer 200 Category 3Answer 200 Category 3Find the SFind the S55 for for 3,7,11,15…3,7,11,15…
3+7+11+15+19=53+7+11+15+19=555
or 5/2(3+19)=55or 5/2(3+19)=55
300 Category 3300 Category 3
Answer
Find the SFind the S77 if aif ann = 2 - 3n = 2 - 3n
Answer 300 Category 3Answer 300 Category 3
Find the SFind the S77 if aif ann = 2 - 3n = 2 - 3n
-1+ -4+-7+-10+--1+ -4+-7+-10+-13+--16+-19= -7013+--16+-19= -70
400 Category 3400 Category 3
Answer
i = 112
Answer 400 Category 3Answer 400 Category 3
i = 112
15+20+25+30+35+40+45+50+55+60+65+70=510
OR 12/2 (15+70) = 510
500 Category 3500 Category 3
Answer
i = 3 ii22
11
Hint Sn
Formula
won’t work!
Answer 500 Category 3Answer 500 Category 3
i = 3 ii22
11
-4+-11+-20+-31+-44+-59+-76+-95
+-116 =-456
100 Category 4100 Category 4
Answer
Write the rule if
r = 6 and a1 =7
and find a10
Answer 100 Category 4Answer 100 Category 4
Write the rule if
r = 6 and a1 =7
an = 6(5)n-1
a10 = 6(5)10-1= 11,718,750
200 Category 4200 Category 4
Answer
Write the rule for
2, 10, 50, 250...
Answer 200 Category 4Answer 200 Category 4
Write the rule for
2, 10, 50, 250…
an = 2(5)n-1
300 Category 4300 Category 4
Answer
Write the rule for
360,120, 40...
Answer 300 Category 4Answer 300 Category 4
Write the rule for
360,120, 40…
an = 360(1/3)n-1
400 Category 4400 Category 4
Answer
Write out the first 5 terms if
an = 3(2)n-1
Answer 400 Category 4Answer 400 Category 4
Write out the first 5 terms if
an = 3(2)n-1
3, 6, 12, 24, 48
500 Category 4500 Category 4
Answer
Find the 2 geometric means
between 3 and 648
Answer 500 Category 4Answer 500 Category 4
Find the 2 geometric means
between 3 and 648
3, , ,648
18,108
100 Category 5100 Category 5
Answer
Find the S3 for
5, 30, 180
Answer 100 Category 5Answer 100 Category 5
Find the S3 for
5+ 30+ 180=215
200 Category 5200 Category 5
Answer
Find the S5 for
10, -30, 90, -270
Answer 200 Category 5Answer 200 Category 5
Find the S5 for
10+ -30+ 90+
-270+810=610
300 Category 5300 Category 5
Answer
Find the S7 for
200,100,50...
Answer 300 Category 5Answer 300 Category 5
Find the S7 for
200+100+50+25+25/2+25/4+25/
8=396.875
400 Category 5400 Category 5
Answer
i = 1))(i-(i-3
Answer 400 Category 5Answer 400 Category 5
i = 1))(i-(i-3
3+6+12 = 21
500 Category 5500 Category 5
Answer
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 500 Category 5Answer 500 Category 5
$1600+-800+400+-200 +100 = 1100
Double JeopardyDouble JeopardyFind the 3
geometric means between 2 and
1250Answer
Double Jeopardy AnswerDouble Jeopardy Answer
Find the 3 geometric means between 2 and
1250
2, , , ,1250
10,50,250
Final JeopardyFinal 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 JeopardyFinal 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
