Sequence and series game

transcript

MMUULLTT II --QQ !!Question & Answer Review Game Question & Answer Review Game Designed for Use in the ClassroomDesigned for Use in the Classroom

MMUULLTT II --QQ !!Welcome to …Welcome to …

Skip Rules

Choose Choose from from the the followinfollowing topicsg topics

You will choose You will choose questions from questions from the following the following

six topic areas:six topic areas:

CLICK TO VIEW TOPIC AREAS CLICK TO VIEW TOPIC AREAS

Arithmetic or Geometric And Determine the

Pattern

What do you know about…What do you know about…What do you know about…What do you know about…

Determining Different Patterns

Write the first six terms

Write the equation

Find the sum

Wildcard

MultiQ ChoicesMultiQ ChoicesMultiQ ChoicesMultiQ ChoicesArth Arth or or

GeoGeo

Diff. Diff. PatternsPatterns

First First six six

termsterms

EquatEquationsions

Find Find the the

sum sum

Wild Wild Card Card

10 10 10 10 10 10

20 20 20 20 20 20

30 30 30 30 30 30

40 40 40 40 40 40

50 50 50 50 50 50FINAL QUESTIONFINAL QUESTIONFINAL QUESTIONFINAL QUESTION

Whoops! Click here to return

to the Multi-Q Game Board

1:101:101:101:10

2, 5, 8, 11, 14, …

CLICK TO CHECKCLICK TO CHECK

T o p i c 1 f o r 1 0 p o i n t s …T o p i c 1 f o r 1 0 p o i n t s …T o p i c 1 f o r 1 0 p o i n t s …T o p i c 1 f o r 1 0 p o i n t s …

1:10 1:10 AnswerAnswer1:10 1:10 AnswerAnswer T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …

Arithmetic Arithmetic

Pattern: add 3Pattern: add 3

CLICK TO PLAY AGAINCLICK TO PLAY AGAIN

Click here to return to the Multi-Q Game Board

1:201:201:201:20

100, 50, 25, 12.5, …

Geometric Geometric

Pattern: divide by 2Pattern: divide by 2

Multiply by ½ Multiply by ½

1:301:301:301:30

-2, 6, -18, 54, …

Geometric Geometric

Pattern: multiply by -3Pattern: multiply by -3

1:401:401:401:40

Arithmetic Arithmetic Pattern: add 1 Pattern: add 1

(in the form of 2/2)(in the form of 2/2)

1:501:501:501:50

,...625

Geometric Geometric

Multiply by 2/5Multiply by 2/5

2:102:102:102:10

1, 4, 9, 16, 25, …

aann = n = n22

2:202:202:202:20

1, 2, 4, 7, 11, 16,22…

add 1, add 2, add 3, etc.add 1, add 2, add 3, etc.

2:302:302:302:30

1, 8, 27, 64, 125, …

aan n = n= n33

2:402:402:402:40

1, 1, 2, 3, 5, 8, 13, 21, …

Add the two previous termsAdd the two previous terms

2:502:502:502:50

5, 7, 4, 6, 3, 5, 2, 4, 1, …

Add 2 then subtract 3 Add 2 then subtract 3

3:103:103:103:10

an = 3 + 2(n-1)

3, 5, 7, 9, 11, 133, 5, 7, 9, 11, 13

3:203:203:203:20

an = 5(2)(n-1)

5, 10, 20, 40, 80, 1605, 10, 20, 40, 80, 160

3:303:303:303:30

an = n(n+1)

2, 6, 12, 20, 30, 422, 6, 12, 20, 30, 42

3:403:403:403:40

3:40 Answer3:40 Answer3:40 Answer3:40 AnswerT h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …

3, .75, .1875, .047, .012, .0033, .75, .1875, .047, .012, .003

3:503:503:503:50 T o p i c 3 f o r 5 0 p o i n t s …T o p i c 3 f o r 5 0 p o i n t s …T o p i c 3 f o r 5 0 p o i n t s …T o p i c 3 f o r 5 0 p o i n t s …

an = n + 2 n

3, 2, 5/3, 3/2, 7/5, 4/33, 2, 5/3, 3/2, 7/5, 4/3

4:104:104:104:10

4, 5, 6, 7, 8, …

aann = 4 + 1(n-1) = 4 + 1(n-1)

4:204:204:204:20

3, 6, 12, 24, 48, …

aann = 3(2) = 3(2)(n-1)(n-1)

4:304:304:304:30

,...3,2

aann = ½ + ½ (n-1) = ½ + ½ (n-1)

aan n = ½ n= ½ n

4:404:404:404:40

4, -8, 16, -32, 64, …

aann = 4(-2) = 4(-2)(n-1)(n-1)

4:504:504:504:50

-4/3, -20, -300, -4500, -67500,…

aann = (-4/3)(15) = (-4/3)(15)(n-1)(n-1)

5:105:105:105:10

Find the sum of:

4, 5, 6, 7, 8, 9, 10, 11, 12

SS99 = = 99(4+12)(4+12)

5:205:205:205:20

3, 5, 7, 9, …41, 43, 45

aann = 3 + 2(n-1) = 3 + 2(n-1)

45 = 3 + 45 = 3 + 2(n-1) 42 = 2(n-1) 42 = 2(n-1) 2(n-1)

21 = n-1 21 = n-1 22 = n 22 = n

SS2222==2222(3+45)(3+45) SS2222==2222(3+45)(3+45) 2222

SS2222=528=528SS2222=528=528

5:305:305:305:30

4, 12, 36,108, 324, 972, 2916

SS77 = 4( = 4(1-31-377) )

43724372

(1- 3) (1- 3)

5:405:405:405:40

Find Sna n

aa1 1 = 3 and a= 3 and a2020 = 41 = 41

SS2020 = = 2020(3+41)(3+41)

440440

5:505:505:505:50 T o p i c 5 f o r 5 0 p o i n t s …T o p i c 5 f o r 5 0 p o i n t s …T o p i c 5 f o r 5 0 p o i n t s …T o p i c 5 f o r 5 0 p o i n t s …

7Find S .na n

1 + 4 + 9 +16 +25 +36 +491 + 4 + 9 +16 +25 +36 +49

140 140 SS2020 = = 20(20+1)(2*20+1)20(20+1)(2*20+1)

66CLICK TO PLAY AGAINCLICK TO PLAY AGAIN

6:106:106:106:10

Determine the type and write the equation

4, 10, 16, 22, 28, 34, …

Arithmetic Arithmetic

aann = 4 + 6(n-1) = 4 + 6(n-1)

6:206:206:206:20

Find the following values given an = 3(-4)(n-1)

a2 = , a5 = , a10=

a2 = -12 , a5= 768,

a10= -786432

6:306:306:306:30

Your car is valued at $20,000 and each year its value decreases 20% per year. (note: A decrease of 20% means the car is worth 80% or its original value each year)

What is the value of the car in 7 years?

aan n = 20000(1-.20)= 20000(1-.20)(n-1)(n-1)

aa77 = 20000(.80) = 20000(.80)(7-1)(7-1)

aa77 = $5242.88 = $5242.88

6:406:406:406:40

1,2,3,4,...

Find the sum of the fi rst 100 terms.

SS100100 = = 100100(1+100)(1+100)

5050 5050

6:506:506:506:50

Every year you save 1.5 times the amount saved the

previous year. You save $2000 the first year. How much total will you have

saved in 6 years?

aan n = 2000(1.5)= 2000(1.5)(n-1)(n-1)

SS66 = 2000 ( = 2000 (1-1.51-1.566))

1-1.51-1.5SS66 = $41562.5 = $41562.5

Bonus Bonus QuestionQuestionBonus Bonus QuestionQuestion B O N U S Q U E S T I O NB O N U S Q U E S T I O NB O N U S Q U E S T I O NB O N U S Q U E S T I O N

Congratulations! Congratulations! If you answer the Bonus If you answer the Bonus

Question correctly, your team Question correctly, your team receives receives double the pointsdouble the points assigned to this question.assigned to this question.

TO THE BONUS QUESTION TO THE BONUS QUESTION

Directions Directions for Last for Last QuestionQuestion

Directions Directions for Last for Last QuestionQuestion D I R E C T I O N S D I R E C T I O N S D I R E C T I O N S D I R E C T I O N S

Team members Team members may consult may consult

on the final question on the final question of this gameof this game.

TO THE FINAL QUESTION TO THE FINAL QUESTION

If your answer is correct,

you may add the wagered amount

to your current score.

If your answer is correct,

you may add the wagered amount

to your current score.

If your answer is incorrect,

you must subtract the wagered amount

from your current score.

If your answer is incorrect,

you must subtract the wagered amount

from your current score.

Please place your wagers.Please place your wagers.

Click the bar belowClick the bar belowwhen you are when you are

ready to proceed.ready to proceed.

Please place your wagers.Please place your wagers.

Click the bar belowClick the bar belowwhen you are when you are

ready to proceed.ready to proceed.

RETURN TO GAME BOARD

Last Last QuestioQuestion n

Write the type, pattern, equation, a16 and the sum of the first 30 values.

20, 16, 12, 8, …

T H E F I N A L Q U E S T I O NT H E F I N A L Q U E S T I O NT H E F I N A L Q U E S T I O NT H E F I N A L Q U E S T I O N

Last Last Answer Answer Last Last Answer Answer T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …T h e c o r r e c t a n s w e r i s …

ArithmeticArithmetic aann= 20–4(n-1)= 20–4(n-1)

Subtract 4 aSubtract 4 a16 16 = -40 = -40

aa30 30 = -96= -96

SS3030 = = 3030 (20 - 96) (20 - 96)

22SS3030 = -1140 = -1140

CLICK TO END THE GAMECLICK TO END THE GAME

ADD OR SUBTRACT WAGERED AMOUNTS

Add up your team score and report it to your teacher.

T H A N K S F O R P L A Y I N G !T H A N K S F O R P L A Y I N G !T H A N K S F O R P L A Y I N G !T H A N K S F O R P L A Y I N G !

DON’T FORGET TO STUDY & REVIEW ON YOUR OWN! DON’T FORGET TO STUDY & REVIEW ON YOUR OWN!

Sequence and series game

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