Jeopardy

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# Jeopardy - PowerPoint PPT Presentation

Jeopardy. Arithmetic Series. Patterns. Arithmetic Sequences. 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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## Jeopardy

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Presentation Transcript

Arithmetic Series

Patterns

Arithmetic Sequences

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

100 Category 1

3, 6, 9, ___, ___,___

3, 6, 9, 12, 15, 18

200 Category 1

20, 12, 4 , ___, ___,___

20, 12, 4 , -4, -12, -20

300 Category 1

800, 400, 200, , ___, ___,___

800, 400, 200, 100, 50,25

400 Category 1

3, 5, 8, 12, ___, ___,___

3, 5, 8, 12, 17, 23,30

500 Category 1

1,1,2,3,5,8 , ___, ___,___

1,1,2,3,5,8 , 13, 21,34

100 Category 2

Write the rule if a1= 10 d = 3

Write the rule if a1= 10 d = 3an = 7 + 3n

200 Category 2

Write the rule ifa3= 15 d = -2

Write the rule ifa3= 15 d = -2an = 21 - 2n

300 Category 2

Write the first 5 terms for an=6+5n

Write the first 5 terms for an=6+5n11, 16, 21, 26, 31

400 Category 2

Find a20 for 10, 6, 2, -2...

Find a20 for 10, 6, 2, -2…an =14 - 4nso a20 = 14 - 4(20) = -66

500 Category 2

Find the rule if a3 = 5 and a7 = 9Remember this is an arithmetic category

Find the rule if a3 = 5 and a7 = 9__,__,5,__,__,__,9d = (9-5)/(7-3) =1an = 2 +1n

100 Category 3

Find the S3 for 10, 8, 6...

Find the S3 for 10, 8, 6…10+8+6 =24

200 Category 3

Find the S5 for 3,7,11,15...

Find the S5 for 3,7,11,15…3+7+11+15+19=55or 5/2(3+19)=55

300 Category 3

Find the S7if an = 2 - 3n

Find the S7if an = 2 - 3n-1+ -4+-7+-10+-13+--16+-19= -70

400 Category 3

12

S 10 + 5i

i = 1

12

S 10 + 5i

i = 1

15+20+25+30+35+40+45+50+55+60+65+70=510

OR 12/2 (15+70) = 510

500 Category 3

11

S 5 - i2

i = 3

Hint Sn Formula won’t work!

11

S 5 - i2

i = 3

-4+-11+-20+-31+-44+-59+-76+-95

+-116 =-456

100 Category 4

Write the rule if

r = 6 and a1 =7

and find a10

Write the rule if

r = 6 and a1 =7

an = 6(5)n-1

a10 = 6(5)10-1= 11,718,750

200 Category 4

Write the rule for

2, 10, 50, 250...

Write the rule for

2, 10, 50, 250…

an = 2(5)n-1

300 Category 4

Write the rule for

360,120, 40...

Write the rule for

360,120, 40…

an =360(1/3)n-1

400 Category 4

Write out the first 5 terms if

an = 3(2)n-1

Write out the first 5 terms if

an = 3(2)n-1

3, 6, 12, 24, 48

500 Category 4

Find the 2 geometric means between 3 and 648

Find the 2 geometric means between 3 and 648

3, , ,648

18,108

100 Category 5

Find the S3 for

5, 30, 180

Find the S3 for

5+ 30+ 180=215

200 Category 5

Find the S5 for

10, -30, 90, -270

Find the S5 for

10+ -30+ 90+

-270+810=610

300 Category 5

Find the S7 for

200,100,50...

Find the S7 for

200+100+50+25+25/2+25/4+25/8=396.875

400 Category 5

3

S 3(2)(i-1)

i = 1

3

S 3(2)(i-1)

i = 1

3+6+12 = 21

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?

\$1600+-800+400+-200 +100 = 1100

Double Jeopardy

Find the 3 geometric means between 2 and 1250

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?

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