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.
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Name:
Answer Sheet
Mathematical Treasure-hunt:
Sequences
Name:
Answer Sheet
Mathematical Treasure-hunt:
Sequences
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 4n + ?.
What is the extra
number ?
6, 10, 14, 18, …
?
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 12th
term, U12 ?
?
12
Mathematical
Treasure-hunt:
Sequences
What is the 5th
term, U5, in the
linear sequence
below?
29, 22, 15, 8, …
?
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, U3?
?
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,
U5, in this
sequence?
?
81
Mathematical
Treasure-hunt:
Sequences
1, 2, 4, 8, …
What is the value
of U7 , the
seventh term, in
the sequence
above?
?
64
Mathematical
Treasure-hunt:
Sequences
In the sequence
of Prime
Numbers what
would U5, the
fifth term,
equal?
?
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, U2, in a sequence
with a common
difference of -10 what
would U1, the first
term, be?
?
54
Mathematical
Treasure-hunt:
Sequences
What is the sum
of the first five
terms in the
linear sequence
generated by:
Un = 4n + 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 U5, 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, U7,
in this sequence?
?