Mathematical Treasure Hunt Answer Sheet

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Mathematical Treasure-hunt: Sequences Cut out each of the question slides and place them around

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, 1, 3, 9, 27, 81, 64, 11, 4, 54, 85, 5, 16. Free powerpoints at http: //www. worldofteaching. com

Name: Answer Sheet Mathematical Treasure-hunt: Sequences

47 Mathematical Treasure-hunt: Sequences 3, 6, 9, 12, … What is the next term

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

2 Mathematical Treasure-hunt: Sequences Consider the Fibonacci sequence below: 1, 1, 2, 3, 5,

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

1 Mathematical Treasure-hunt: Sequences How many sides does the shape associated with this sequence

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

9 Mathematical Treasure-hunt: Sequences Multiply your previous two answers together to find the next

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

81 Mathematical Treasure-hunt: Sequences 1, 2, 4, 8, … What is the value of

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

11 Mathematical Treasure-hunt: Sequences What is the common difference in this linear sequence? 3,

11 Mathematical Treasure-hunt: Sequences What is the common difference in this linear sequence? 3, 7, 11, 15, … ? 4 Mathematical Treasure-hunt: Sequences 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? ?

54 Mathematical Treasure-hunt: Sequences What is the sum of the first five terms in

54 Mathematical Treasure-hunt: Sequences What is the sum of the first five terms in the linear sequence generated by: Un = 4 n + 5 ? 85 Mathematical Treasure-hunt: Sequences 100, 20, 4, 0. 8, … What is the divisor in the above sequence? ?

5 Mathematical Treasure-hunt: Sequences What is the value of the denominator of U 5,

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