Sequences - Arithmetic Picture Patterns

Tame the Dragon!

By Hannah Jones and Inspired by Ella Racovac Bekes

1. 3
2. [1-3]
3. color
4. #FF9900, #FAF700, #00CC00, #FF0000, #6633FF
5. no-repeat

Go!

New game

Dragon Cave

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A history professor in your school has always told myths and legends about European dragons. When she retired, she set out to fulfil her life long dream of visiting all the places in Europe she talked about.But today, somewhere on a mountain range in Croatia, she became

A treasure that hides

lost.

Dragon Cave

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You have received a snapchat message in which she begs you for help. The message contains strange strings of dragon egg symbols and prints that require your mathematical curiosity. Help your history professor to tame the dragon and return home!

A treasure that hides

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to tame the dragon...

...Save the Dragon Eggs

1

2

3

5

1

8

Stretch - nth Term

ARITHMETIC SEQUENCE An arithmetic sequence is a series of numbers in which the difference between neighbouring numbers is a constant number. GEOMETRIC SEQUENCE A geometric sequence is a series of numbers in which the quotient of each member and its previous member is a constant number.

SEQUENCES A sequence can be arithmetic or geometric. But it might not be either. Check carefully!

TERMINOLOGY The arithmetic and geometric sequence were named after a property valid for every three consecutive terms. The mean of these three terms is equal to the arithmetic or geometric mean of the neighbouring members.

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to tame the dragon...

...Save the Dragon Eggs

1

2

3

5

1

8

Stretch - nth Term

ARITHMETIC SEQUENCE An arithmetic sequence is a series of numbers in which the difference between neighbouring numbers is a constant number. GEOMETRIC SEQUENCE A geometric sequence is a series of numbers in which the quotient of each member and its previous member is a constant number.

SEQUENCES A sequence can be arithmetic or geometric. But it might not be either. Check carefully!

TERMINOLOGY The arithmetic and geometric sequence were named after a property valid for every three consecutive terms. The mean of these three terms is equal to the arithmetic or geometric mean of the neighbouring members.

The term to term rule is add 2

Question 1/3

The term to term rule is add 3

The term to term rule is add 1

These eggs represent the first 3 terms of a sequence

The 4th term will have 8 eggs

The 4th term will have 9 eggs

The 4th term will have 7 eggs

Question 2/3

These eggs represent the first 3 terms of a sequence

The 10th term will show 18 eggs

The 10th term will show 17 eggs

The 10th term will show 19 eggs

Questions 3/3

These eggs represent the first 3 terms of a sequence

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back

Correct!

5

1

8

Question 1/3

The term to term rule is add 5

The term to term rule is add 4

The term to term rule is add 3

These footprints represent the first 3 terms of a sequence

The 4th term is 16

The 4th term is 15

The 4th term is19

Question 2/3

These footprints represent the first 3 terms of a sequence

The 7th term is23

The 7th term is 25

The 7th term is 28

Question 3/3

These footprints represent the first 3 terms of a sequence

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back

Correct

5

1

8

These dragon heads represent the first 3 terms of a sequence

Question 1/3

The term to term rule is add 3

The term to term rule is add 2

The term to term rule is add 1

The 4th term is10

The 4th term is9

The 4th term is 8

Question 2/3

These dragon heads represent the first 3 terms of a sequence

Question 3/3

These dragon heads represent the first 3 terms of a sequence

The 5th term is12

The 7th term is12

The 6th term is12

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Correct!

back

5

1

8

Stretch - nth Term

play again?

congratulations!

You helped your history professor save the dragon's eggs and tamed the dragon!

Try again

Incorrect!

1. 4
2. [1-4]
3. color
4. #FF9900, #FAF700, #00CC00, #FF0000, #6633FF
5. no-repeat

Dragon Ambush

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You get another message from your History Professor. It says...Thank you for helping me tame the dragon mother.Unfortunately, when I started down the mountain a group of fire breathing dragons came out of nowhere and I have sought refuge under a stone ledge. From my vantage point I can see 4 dragons circling overhead.I need you to solve these extra puzzles before it is too late. Hurry! My life is in your hands.

Escape from the mountain

Stretch - nth Term

The nth term rule is 2n + 1

Question 1/3

The nth term rule is 2n -1

The nth term rule is 2n

These dragon eggs represent the first 3 terms of a sequence

back

Correct!

The nth term rule is 3n + 4

Question 2/4

The nth term rule is 3n

The nth term rule is 3n + 7

These dragon's footprints represent the first 3 terms of a sequence

back

Correct!

The nth term rule is 2n + 1

Question 3/4

The nth term rule is 2n -1

The nth term rule is 2n

These dragon eyes represent the first 3 terms of a sequence

Correct!

back

The nth term rule is 4n + 4

Question 4/4

The nth term rule is 2n + 4

The nth term rule is 6n + 4

These dragon's footprints represent the first 3 terms of a sequence

back

Correct!

play again?

Your history professor escaped.

He says "Thank you for all your help.""I would have not survived this adventure without your mathematical skills."THE END