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Discover the Joy of Math at Mr. Froggett’s Fun Fair!

Step right up and join Mr. Froggett’s Fun Fair! Experience thrilling games, exciting prizes, and engaging math challenges. Test your luck with “3 shots for a pound” and win fun rewards for every hit! Dive into sequences and discover patterns as you find the nth term and predict future numbers. It's a magical blend of learning and fun! Whether you’re solving puzzles or playing games, there’s something for everyone. Who's ready to show off their math skills and enjoy a day filled with laughter and prizes?

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Discover the Joy of Math at Mr. Froggett’s Fun Fair!

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  1. Mr Froggett’s Sequence Fun Fair.

  2. Role up, role up! Who feels lucky today? • 3 shots for a pound. • Every hit gets a prize • Anyone want a go?

  3. Mr Froggett’s Fun Fair

  4. Mr Froggett’s Fun Fair

  5. Mr Froggett’s Fun Fair

  6. Mr Froggett’s Fun Fair

  7. Mr Froggett’s Fun Fair

  8. Mr Froggett’s Fun Fair

  9. 1 1 3 2 5 3 7 4 9 5 Mr Froggett’s Fun Fair Row

  10. Mr Froggett’s Fun Fair Row 1 1 3 2 +2 +2 +2 +2 5 3 7 4 9 5

  11. Mr Froggett’s Fun Fair 2 1 3 4 5 9 1 3 5 7 +2 +2 +2 +2 +2 Nth term = __ x term + or - ___ n

  12. Term(n) x 2 9 1 3 5 7 Mr Froggett’s Fun Fair 2 1 3 4 5 2 4 6 8 10 2 x n Nth term = +2 x n + or - ___

  13. Term(n) 9 1 3 5 7 2n - Mr Froggett’s Fun Fair 2 1 3 4 5 2 4 6 8 10 2n -1 -1 -1 -1 -1 -1 Difference 2 x n Nth term = +2 x n + or -

  14. 17 1 1 9 Mr Froggett’s Fun Fair 2n – 1 = Nth term = 2 x n - 1

  15. Your turn • Find the nth term, the next two numbers in the sequence and the 10th term. • 1, 5, 9, 13, 4n – 3 37 • 17, 15, 13, 11, -2n + 19 -1 • 7, 10, 13, 16 3n + 4 34 • 2, 11, 20, 29 9n – 7 83 • 21, 14, 7, 0 -7n + 28 -42

  16. 1 1 4 2 9 3 16 4 16 25 25 5 Mr Froggett’s Quadratic Fun Fair Row

  17. Mr Froggett’s Fun Fair Row 1 1 4 2 +3 +5 +7 +9 +2 +2 +2 +2 9 3 Therefore if the second difference is +2 the rule must have x2 in it. 16 4 25 5

  18. Term(n) n2 25 1 4 9 16 Mr Froggett’s Fun Fair 2 1 3 4 5 1 4 9 16 25 n2 Nth term = n2 + or - ___

  19. Term(n) 25 1 4 9 16 Mr Froggett’s Fun Fair 2 1 3 4 5 1 4 9 16 25 n2 0 0 0 0 0 0 0 Difference Nth term = n2 + or - ___ Nth term = n2

  20. Mr Froggett’s Fun Fair 2 1 3 4 5 2 8 18 32 50 +6 +10 +14 +18 +4 +4 +4 What effect would it have on the rule if the second difference became + 4?

  21. Mr Froggett’s Fun Fair

  22. Nth term = 2n2 + 4n – 3

  23. Your turn • Find the nth term and the 10th term. • 10, 18, 28, 40 • 4, 9, 17, 28 • 7, 15, 25, 37 • 2, 5, 10, 17, 26

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