Sequences

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
Mathematical Treasure-hunt Sequences
Answer Sheet
Answer Sheet
Name
Name
3
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,
4
Consider the Fibonacci sequence below
What is the 5th term, T5, in the linear sequence
below?
1, 1, 2, 3, 5, 8, 13, 21,
What is the Square Root of the 12th term, T12 ?
29, 22, 15, 8,
5
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, T3?
1, 3, 6, 10, 15, 21,
6
Multiply your previous two answers together to
find the next answer.
The previous four answers form a geometric
sequence. What is the next term, T5, in this
sequence?
7
In the sequence of Prime Numbers what would T5,
the fifth term, equal?
1, 2, 4, 8,
What is the value of T7 , the seventh term, in
the sequence above?
8
The product of the previous two answers is 44.
This is also the second term, T2, in a sequence
with a common difference of -10. This means the
third term, T3, is 34 but what would T1, the
first term, be?
What is the common difference in this linear
sequence?
3, 7, 11, 15,
9
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?
Tn 4n 5
10
What is the value of the denominator of T5, the
fifth term, in this sequence?
A sequence is
3, 4, 7, 11, 18, ..
What is the seventh term, T7, in this sequence?
3, 5, 7, 9, 4, 7, 10, 13