Unit 1 Pupil Book 5-7 Math Worksheet Page 9
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10.5 Generating sequences
.5 Generating sequences
using rules
using rules
§ §
Generate a sequence using a term-to-term rule
§
§
Generate a sequence using a position-to-term rule
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§
The term number tells you the position of that term in the sequence.
Level 5
§
§
A position-to-term rule tells you what to do to the term number to obtain
that term in the sequence.
Level 5
&
Level 6
§ §
A position-to-term rule can be written in words or in algebra.
For example, 3n
5: n is the term number, so to fi nd a term multiply its
term number by 3 and add 5.
Level 5
&
Level 6
Level 5
I can recognise
Each of the arithmetic sequences below has one mistake. Rewrite the sequence
and describe an
correctly and identify a (the fi rst term) and d (the constant difference).
arithmetic sequence
a
b
c
3, 7, 11, 16, …
5, 12, 20, 26, …
12, 10, 6, 3, …
In an arithmetic sequence, the 3rd term is 15 and the 5th term is 23.
What are the values of a and d for this sequence?
In another arithmetic sequence, the 3rd term is 18 and the 7th term is 10.
What are the values of a and d for this sequence?
Use the position-to-term rules to fi nd the 1st, 2nd, 3rd and 10th terms of these
sequences.
Multiply the term number by 2.
When term number = 1, term = 1
2 = 2.
×
I can fi nd a term
When term number = 2, term = 2
2 = 4.
×
given its position
When term number = 3, term = 3
2 = 6.
and a position-to-term
×
rule
When term number = 10, term = 10
2 = 20.
×
a
Multiply the term number by 5.
b
Multiply the term number by 3 and add 2.
c
Multiply the term number by 7 and subtract 4.
d
Divide the term number by 2 and add 5.
arithmetic sequence
decrease
generate
12
Getting things in order
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