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Jeopardy
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Patterns Arithmetic Sequences Arithmetic Series Geometric Sequences Geometric Series 100 100 100 100 100 200 200 200 200 200 Jeopardy 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Final Jeopardy
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100 Category 1 3, 6, 9, ___, ___,___ Answer
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Answer 100 Category 1 3, 6, 9, 12, 15, 18
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200 Category 1 20, 12, 4 , ___, ___,___ Answer
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Answer 200 Category 1 20, 12, 4 , -4, -12, -20
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300 Category 1 800, 400, 200, , ___, ___,___ Answer
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Answer 300 Category 1 800, 400, 200, 100, 50,25
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400 Category 1 3, 5, 8, 12, ___, ___,___ Answer
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Answer 400 Category 1 3, 5, 8, 12, 17, 23,30
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500 Category 1 1,1,2,3,5,8 , ___, ___,___ Answer
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Answer 500 Category 1 1,1,2,3,5,8 , 13, 21,34
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100 Category 2 Write the rule if a1= 10 d = 3 Answer
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Write the rule if a1= 10 d = 3 an = 7 + 3n
Answer 100 Category 2 Write the rule if a1= 10 d = 3 an = 7 + 3n
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200 Category 2 Write the rule if a3= 15 d = -2 Answer
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Write the rule if a3= 15 d = -2 an = 21 - 2n
Answer 200 Category 2 Write the rule if a3= 15 d = -2 an = n
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Write the first 5 terms for an=6+5n
300 Category 2 Write the first 5 terms for an=6+5n Answer
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Write the first 5 terms for an=6+5n 11, 16, 21, 26, 31
Answer 300 Category 2 Write the first 5 terms for an=6+5n 11, 16, 21, 26, 31
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400 Category 2 Find a20 for 10, 6, 2, -2... Answer
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Find a20 for 10, 6, 2, -2… an =14 - 4n so a20 = 14 - 4(20) = -66
Answer 400 Category 2 Find a20 for 10, 6, 2, -2… an =14 - 4n so a20 = (20) = -66
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500 Category 2 Find the rule if a3 = 5 and a7 = 9 Remember this is an arithmetic category Answer
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Answer 500 Category 2 Find the rule if a3 = 5 and a7 = 9 __,__,5,__,__,__,9 d = (9-5)/(7-3) =1 an = 2 +1n
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100 Category 3 Find the S3 for 10, 8, 6... Answer
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Answer 100 Category 3 Find the S3 for 10, 8, 6… =24
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200 Category 3 Find the S5 for 3,7,11,15... Answer
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Find the S5 for 3,7,11,15… 3+7+11+15+19=55 or 5/2(3+19)=55
Answer 200 Category 3 Find the S5 for 3,7,11,15… =55 or 5/2(3+19)=55
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300 Category 3 Find the S7 if an = 2 - 3n Answer
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Find the S7 if an = 2 - 3n -1+ -4+-7+-10+-13+--16+-19= -70
Answer 300 Category 3 Find the S7 if an = 2 - 3n = -70
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400 Category 3 12 S i i = 1 Answer
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Answer 400 Category 3 12 S i i = 1 =510 OR 12/2 (15+70) = 510
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500 Category 3 11 S 5 - i2 i = 3 Hint Sn Formula won’t work! Answer
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S 5 - i2 11 i = 3 -4+-11+-20+-31+-44+-59+-76+-95 +-116 =-456
Answer 500 Category 3 11 S 5 - i2 i = 3 +-116 =-456
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100 Category 4 Write the rule if r = 6 and a1 =7 and find a10 Answer
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Write the rule if r = 6 and a1 =7 an = 6(5)n-1
Answer 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
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200 Category 4 Write the rule for 2, 10, 50, Answer
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Answer 200 Category 4 Write the rule for 2, 10, 50, 250… an = 2(5)n-1
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300 Category 4 Write the rule for 360,120, 40... Answer
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Answer 300 Category 4 Write the rule for 360,120, 40… an = 360(1/3)n-1
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Write out the first 5 terms if an = 3(2)n-1
400 Category 4 Write out the first 5 terms if an = 3(2)n-1 Answer
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Write out the first 5 terms if an = 3(2)n-1 3, 6, 12, 24, 48
Answer 400 Category 4 Write out the first 5 terms if an = 3(2)n-1 3, 6, 12, 24, 48
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Find the 2 geometric means between 3 and 648
500 Category 4 Find the 2 geometric means between 3 and 648 Answer
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Find the 2 geometric means between 3 and 648
Answer 500 Category 4 Find the 2 geometric means between 3 and 648 3, , ,648 18,108
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100 Category 5 Find the S3 for 5, 30, 180 Answer
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Answer 100 Category 5 Find the S3 for =215
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200 Category 5 Find the S5 for 10, -30, 90, -270 Answer
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Answer 200 Category 5 Find the S5 for =610
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300 Category 5 Find the S7 for 200,100,50... Answer
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Find the S7 for 200+100+50+25+25/2+25/4+25/8=396.875
Answer 300 Category 5 Find the S7 for /2+25/4+25/8=
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400 Category 5 3 S 3(2)(i-1) i = 1 Answer
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Answer 400 Category 5 3 S 3(2)(i-1) i = 1 = 21
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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
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Answer 500 Category 5 $ = 1100
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Find the 3 geometric means between 2 and 1250
Double Jeopardy Find the 3 geometric means between 2 and 1250 Answer
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Double Jeopardy Answer
Find the 3 geometric means between 2 and 1250 2, , , ,1250 10,50,250
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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
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Answer... 20th Day! sn = 1600(1/2)n-1 sn = 1600(1/2)20-1 =.00305
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 sn = 1600(1/2)n-1 sn = 1600(1/2)20-1 =.00305 Answer... 20th Day!
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