1. 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.

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

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

4. Mathematical Treasure-hunt: Sequences 12 ? Mathematical Treasure-hunt: Sequences 2 ? 29, 22, 15, 8, … What is the 5 th term, U 5, in the linear sequence below? 1, 1, 2, 3, 5, 8, 13, 21, … Consider the Fibonacci sequence below: What is the Square Root of the 12 th term, U 12 ?

5. Mathematical Treasure-hunt: Sequences 3 ? 1 ? 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, U 3 ? 1, 3, 6, 10, 15, 21, … How many sides does the shape associated with this sequence have?

6. Mathematical Treasure-hunt: Sequences 27 ? Mathematical Treasure-hunt: Sequences 9 ? The previous four answers form a geometric sequence. What is the next term, U 5, in this sequence? Multiply your previous two answers together to find the next answer.

7. Mathematical Treasure-hunt: Sequences 64 ? Mathematical Treasure-hunt: Sequences 81 ? 1, 2, 4, 8, … What is the value of U 7, the seventh term, in the sequence above? In the sequence of Prime Numbers what would U 5, the fifth term, equal?

8. Mathematical Treasure-hunt: Sequences 4 ? 11 ? 3, 7, 11, 15, … What is the common difference in this linear sequence? The product of your previous two answers should equal 44. If this is the second term, U 2, in a sequence with a common difference of -10 what would U 1, the first term, be?

9. Mathematical Treasure-hunt: Sequences 85 ? Mathematical Treasure-hunt: Sequences 54 ? U n = 4n + 5 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?

10. Mathematical Treasure-hunt: Sequences 16 ? Mathematical Treasure-hunt: Sequences 5 ? 3, 5, 7, 9, … 4, 7, 10, 13 What is the value of the denominator of U 5, the fifth term, in this sequence? 3, 4, 7, 11, 18,.. What is the seventh term, U 7, in this sequence? A sequence is:

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