Unit 1 Pupil Book 5-7 Math Worksheet Page 8
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10Level 5
Which of these sequences are arithmetic sequences?
Learn this
Learn this
Copy them and identify the values of a and d
I can recognise
and describe an
In an arithmetic
for each sequence.
arithmetic sequence
sequence, a is the
a
b
3, 5, 7, 9, …
1, 4, 9, 16, …
fi rst term and d is the
constant difference
c
d
that is added on each
10, 7, 4, 1, …
7, 17, 27, 37, …
I can generate a
time. If the sequence
sequence from a
Write the sequence generated by this fl ow chart.
is decreasing, d is a
fl ow chart
negative number.
Is it an arithmetic sequence?
Is your
I can recognise
Yes
answer bigger
Start with 4
Add 13
STOP
and describe an
than 50?
arithmetic sequence
I can generate
No
a sequence from
Steph is making some terraced houses out of rods.
a practical context
a
Draw the next picture.
b
Copy and complete the table.
Number of houses
1
2
3
4
5
6
Number of rods
6
c
Describe this sequence with a term-to-term rule.
d
Is this sequence arithmetic? If so, write down the values of a and d.
I can predict and
test the next
George wants to model the spread of a forest fi re.
term in a practical
sequence
He starts by colouring in one square in his book.
The fi re will spread to another square if it shares
an edge with a square that is already on fi re.
a
Copy and complete the table.
Term number
1
2
3
Squares on fi re
1
b
Predict the number of ‘squares on fi re’ for the 4th and 5th terms.
c
Draw the fourth term to test your prediction.
d
What is happening each time? Explain your answer.
e
Describe this sequence with a term-to-term rule.
f
Is this sequence arithmetic? If so, write down the values of a and d.
Level 6
Copy these sequences and write the next two terms.
I can continue a
a
3, 4, 6, 9, …
b
100, 99, 97, 94, …
c
5, 7, 11, 17, …
non-arithmetic
d
2, 8, 18, 36, …
e
49, 36, 25, 16, …
f
1, 8, 20, 37, …
sequence
A
B
Look and say
Fired up
A sequence begins like this.
George used a square-based system to model a forest
fi re in Q7. Repeat his experiment using equilateral
1, 11, 21, 1211, 111221, ...
triangles. (You may like to use isometric paper.)
What is the next number in the sequence?
Does the fi re spread faster or slower?
There is a clue in the title.
Hint:
Hint:
What real-world situations might this model?
generate
predict
sequence
term
term-to-term rule
11
1.4 Sequences
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