Mathematical Treasure Hunt: Sequences Challenge
Engage students in a fun and interactive mathematical treasure hunt focusing on sequences. Cut out question slides, place them around the room, and distribute answer sheets for students to solve the sequence puzzles. Includes tasks on linear and Fibonacci sequences, geometric progression, prime numbers, and more. Encourage critical thinking and mathematical reasoning while having an exciting adventure finding the correct sequence order.
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Presentation Transcript
Mathematical Treasure-hunt: Sequences Cut out each of the question slides and place them around the room, stick them on the walls if you wish. Print out and distribute the answer sheet, one per pupil, or team, and set them off to find the answers. The correct sequence is: 47, 15, 2, 12, 1, 3, 9, 27, 81, 64, 11, 4, 54, 85, 5, 16.
Mathematical Treasure-hunt: Mathematical Treasure-hunt: Answer Sheet Answer Sheet Sequences Sequences Name: Name:
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 47 15 Previous Answer 3, 6, 9, 12, Previous Answer The linear sequence below is generated by the term 4n + ?. What is the extra number ? What is the next term in the linear sequence above? 6, 10, 14, 18, ? ? To the next clue To the next clue
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 2 12 Previous Answer Consider the Fibonacci sequence below: Previous Answer What is the 5th term, U5, in the linear sequence below? 1, 1, 2, 3, 5, 8, 13, 21, What is the Square Root of the 12th term, U12 ? 29, 22, 15, 8, ? ? To the next clue To the next clue
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 1 3 Previous Answer How many sides does the shape associated with this sequence have? Previous Answer The rule for generating a sequence is: Add four on to the previous term. If the first term is 1, what is the third term, U3? 1, 3, 6, 10, 15, 21, ? ? To the next clue To the next clue
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 9 27 Previous Answer Multiply your previous two answers together to find the next answer. Previous Answer The previous four answers form a geometric sequence. What is the next term, U5, in this sequence? ? ? To the next clue To the next clue
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 81 64 Previous Answer 1, 2, 4, 8, What is the value of U7 , the seventh term, in the sequence above? Previous Answer In the sequence of Prime Numbers what would U5, the fifth term, equal? ? ? To the next clue To the next clue
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 11 4 Previous Answer Previous Answer The product of your previous two answers should equal 44. If this is the second term, U2, in a sequence with a common difference of -10 what would U1, the first term, be? What is the common difference in this linear sequence? 3, 7, 11, 15, ? ? To the next clue To the next clue
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 54 85 Previous Answer What is the sum of the first five terms in the linear sequence generated by: Previous Answer 100, 20, 4, 0.8, What is the divisor in the above sequence? Un = 4n + 5 ? ? To the next clue To the next clue
Mathematical Treasure-hunt: Sequences Mathematical Treasure-hunt: Sequences 5 16 Previous Answer What is the value of the denominator of U5, the fifth term, in this sequence? Previous Answer A sequence is: 3, 4, 7, 11, 18, .. What is the seventh term, U7, in this sequence? 3, 5, 7, 9, 4, 7, 10, 13 ? ? To the next clue To the next clue
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