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Jeopardy. Rules. Always answer in the form of a question Team names & buzzer sounds ready Points to be taken away for wrong answers? (Decide as a class…change this slide accordingly for future.). Formulas. Arithmetic Geometric or Neither?. Sum of Series. Sigma Notation. Find This - PowerPoint PPT Presentation

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Page 1: Jeopardy
Page 2: Jeopardy

Rules

• Always answer in the form of a question

• Team names & buzzer sounds ready

• Points to be taken away for wrong answers? (Decide as a class…change this slide accordingly for future.)

Page 3: Jeopardy

100

200

300

400

500

FormulasArithmeticGeometricor Neither?

Sum ofSeries

SigmaNotation

FindThisTerm

100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

Page 4: Jeopardy

Formulas - for 100

Remember to phrase your answer in the form of a question!

tn of an Arithmetic Sequence

Page 5: Jeopardy

Formulas - for 100

tn=t1 + (n-1)d

Page 6: Jeopardy

Formulas - for 200

Remember to phrase your answer in the form of a question!

tn of a Geometric Sequence

Page 7: Jeopardy

Formulas - for 200

tn = t1 • r (n-1)

Page 8: Jeopardy

Formulas- for 300

Remember to phrase your answer in the form of a question!

Sum of the first n terms of an Arithmetic

Sequence

Page 9: Jeopardy

Formulas - for 300

Sn = [n(t1 + tn)] / 2

Page 10: Jeopardy

Formulas - for 400

Remember to phrase your answer in the form of a question!

The Sum of the first n terms of a Geometric

Series

Page 11: Jeopardy

Formulas - for 400

Sn = [t1 (1-rn)] / (1- r)

Page 12: Jeopardy

Formulas - for 500

Remember to phrase your answer in the form of a question!

Sum of all terms in an Infinite

Geometric Series

Page 13: Jeopardy

Formulas - for 500

S = t1 / (1 – r)

Page 14: Jeopardy

Arithmetic, Geometric, or Neither? - for 100

Remember to phrase your answer in the form of a question!

1, 5, 25, 125…

Page 15: Jeopardy

Arithmetic, Geometric, or Neither? - for 100

Geometric

Page 16: Jeopardy

Arithmetic, Geometric, or Neither? - for 200

Remember to phrase your answer in the form of a question!

tn = 4n+3

Page 17: Jeopardy

Arithmetic, Geometric, or Neither? - for 200

Arithmetic

Page 18: Jeopardy

Arithmetic, Geometric, or Neither- for 300

Remember to phrase your answer in the form of a question!

18, 22, 26, 30…

Page 19: Jeopardy

Arithmetic, Geometric, or Neither? - for 300

Arithmetic

Page 20: Jeopardy

Arithmetic, Geometric, or Neither? - for 400

Remember to phrase your answer in the form of a question!

tn = log (n+1)

Page 21: Jeopardy

Arithmetic, Geometric, or Neither? - for 400

Neither

Page 22: Jeopardy

Arithmetic, Geometric, or Neither? - for 500

Remember to phrase your answer in the form of a question!

-3, -1, 1, 3, …

Page 23: Jeopardy

Arithmetic, Geometric, or Neither? - for 500

Arithmetic

Page 24: Jeopardy

Sum of Series - for 100

Remember to phrase your answer in the form of a question!

Find the sum of the arithmetic series in which…

n=40 t1=-12 and t40=183

Page 25: Jeopardy

Sum of Series - for 100

Sn=3420

Page 26: Jeopardy

Sum of Series - for 200

Remember to phrase your answer in the form of a question!

50

3 j 2 j1

50

Find the sum of the following

arithmetic series

Page 27: Jeopardy

Sum of Series - for 200

Sn=3925

Page 28: Jeopardy

Sum of Series - for 300

Remember to phrase your answer in the form of a question!

Find the sum of the geometric series in which…

n=10 r=-3 and t1=2

Page 29: Jeopardy

Sum of Series - for 300

Sn=-29,524

Page 30: Jeopardy

Sum of Series - for 400

Remember to phrase your answer in the form of a question!

2k1

12

12

1

2k

k

Find the sum of the following geometric

series

Page 31: Jeopardy

Sum of Series - for 400

4095

4096

4095

4096Sn=

Page 32: Jeopardy

Sum of Series - for 500

Remember to phrase your answer in the form of a question!

3 3 3 3 1 ...

3 3 3 3 1 ...

Find the sum of the following infinite geometric series

Page 33: Jeopardy

Sum of Series - for 500

9

23 1 S=

Page 34: Jeopardy

Sigma Notation- for 100

Remember to phrase your answer in the form of a question!

Write in expanded form:

6

1

)10(n

n

Page 35: Jeopardy

Sigma Notation- for 100

11+12+13+14+15+16

Page 36: Jeopardy

Sigma Notation- for 200

Remember to phrase your answer in the form of a question!

8,2

xx

Write in expanded form:

6

1

2n

n

Page 37: Jeopardy

Sigma Notation- for 200

2+4+8+16+32+64

Page 38: Jeopardy

Sigma Notation- for 300

Remember to phrase your answer in the form of a question!

Write using sigma notation:

-9+3 -1+1/3+….

Page 39: Jeopardy

Sigma Notation- for 300

n

n

3

127

1

Page 40: Jeopardy

Sigma Notation- for 400

Remember to phrase your answer in the form of a question!

Write using sigma notation:

The series consisting of positive three-digit integers divisible by 5.

Page 41: Jeopardy

Sigma Notation- for 400

199

20

5n

n

Page 42: Jeopardy

Sigma Notation- for 500

Find the value of:

Remember to phrase your answer in the form of a question!

)1(1

6

1

k

jk

Page 43: Jeopardy

Sigma Notation- for 500

21

Page 44: Jeopardy

Find This Term - for 100

Remember to phrase your answer in the form of a question!

Find t21 of the following arithmetic

sequence…

4, 9, 14, 19, …

Page 45: Jeopardy

Find This Term - for 100

t21=104

Page 46: Jeopardy

Find This Term - for 200

Remember to phrase your answer in the form of a question!

t5=24 t9=40

Find t1 of this arithmetic sequence

Page 47: Jeopardy

Find This Term - for 200

t1=8

Page 48: Jeopardy

Find This Term - for 300

Remember to phrase your answer in the form of a question!

Find t11 of the following sequence

40, -20, 10, -5, …

Page 49: Jeopardy

Find This Term - for 300

5

128t11=

Page 50: Jeopardy

Find This Term - for 400

Remember to phrase your answer in the form of a question!

Find t5 of the geometric

sequence when t2=18 and t3=12

Page 51: Jeopardy

Find This Term - for 400

t5=

16

3

Page 52: Jeopardy

Find This Term - for 500

Remember to phrase your answer in the form of a question!

Tell whether the following sequence is arithmetic or geometric, then find

a formula for the nth term

2a + 1, 3a + 3, 4a + 5, …

Page 53: Jeopardy
Page 54: Jeopardy

Find This Term - for 500

Arithmetic

tn = (n + 1) a + (2n - 1)