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**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. Free powerpoints at

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**Name: Name: Answer Sheet Answer Sheet**

Mathematical Treasure-hunt: Sequences Answer Sheet Mathematical Treasure-hunt: Sequences Answer Sheet Name: Name:

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**What is the next term in the linear sequence above?**

Mathematical Treasure-hunt: Sequences 47 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 15 Previous Answer ? To the next clue The linear sequence below is generated by the term 4n + ?. What is the extra number ? 3, 6, 9, 12, … What is the next term in the linear sequence above? 6, 10, 14, 18, …

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**Mathematical Treasure-hunt: Sequences**

2 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 12 Previous Answer ? To the next clue Consider the Fibonacci sequence below: 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, …

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**Mathematical Treasure-hunt: Sequences**

1 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 3 Previous Answer ? To the next clue How many sides does the shape associated with this sequence have? 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, …

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**Multiply your previous two answers together to find the next answer.**

Mathematical Treasure-hunt: Sequences 9 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 27 Previous Answer ? To the next clue Multiply your previous two answers together to find the next answer. The previous four answers form a geometric sequence. What is the next term, U5, in this sequence?

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**Mathematical Treasure-hunt: Sequences**

81 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 64 Previous Answer ? To the next clue In the sequence of Prime Numbers what would U5, the fifth term, equal? 1, 2, 4, 8, … What is the value of U7 , the seventh term, in the sequence above?

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**What is the common difference in this linear sequence?**

Mathematical Treasure-hunt: Sequences 11 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 4 Previous Answer ? To the next clue 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, …

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**What is the divisor in the above sequence?**

Mathematical Treasure-hunt: Sequences 54 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 85 Previous Answer ? To the next clue What is the sum of the first five terms in the linear sequence generated by: 100, 20, 4, 0.8, … What is the divisor in the above sequence? Un = 4n + 5

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**What is the seventh term, U7, in this sequence?**

Mathematical Treasure-hunt: Sequences 5 Previous Answer ? To the next clue Mathematical Treasure-hunt: Sequences 16 Previous Answer ? To the next clue What is the value of the denominator of U5, the fifth term, in this sequence? 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

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12.1 – Arithmetic Sequences and Series

12.1 – Arithmetic Sequences and Series

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