Unit 1 Pupil Book 5-7 Math Worksheet Page 10
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1
2
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5
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7
8
9
10Level 6
Use the position-to-term rules to fi nd the 1st, 2nd, 3rd and 100th terms of these
I can fi nd a term
sequences.
given its position
a
Multiply the term number by
3.
and a position-to-term
rule using positive and
b
Multiply the term number by 2 and subtract 7.
negative numbers
c
Subtract 3 from the term number and then multiply by 8.
d
Subtract the term number from 10.
e
Divide the term number by 4.
I can fi nd a term
Use the position-to-term rules to fi nd the 1st, 2nd, 3rd and 7th terms of these
given its position
sequences.
and an algebraic
position-to-term rule
5n
2
1st term = 5
1 + 2 = 7
×
2nd term = 5
2 + 2 = 12
×
3rd term = 5
3 + 2 = 17
×
7th term = 5
7 + 2 = 37
×
a
4n
3
b
100
n
c
7n
99
d
6n
8
e
3
2n
f
n
2
a
For each of these position-to-term rules, write the fi rst fi ve terms.
5n
7
4n
2
6n
1
3n
2
b
What do you notice about the term-to-term rule and the position-to-term
rule in each case?
Match each term-to-term defi nition to a position-to-term defi nition.
Term-to-term
Position-to-term
Multiply the term number
a
Start at 3, add 2 each time.
ii
by 4 and subtract 2.
Multiply the term number
b
Start at 4, subtract 3 each time.
by
3 and add 7.
c
Start at 2, add 4 each time.
Double the term number and add 1.
I can understand
True or false?
and use algebraic
position-to-term rules
a
The sequence 7n produces the multiples of 7.
b
Every term in the sequence 2n
3 is odd.
c
The sequence 5
n is a decreasing sequence.
d
The sequences 2(n
4) and 2n
8 are not the same.
e
Every term in the sequence 3(100
n) is positive.
A
B
Can you digit?
Rows by any other name
The digits 1 to 8 can be arranged as an arithmetic
Calculate the fi rst fi ve terms of the
sequence of two-digit numbers like this.
sequence with the position-to-term rule
_
1
n(n
1). By what name are these
12, 34, 56, 78 (start at 12, add 22 each time)
2
numbers better known?
Find another way to arrange the digits 1 to 8 as an
arithmetic sequence of two-digit numbers.
1.5 Generating sequences
increase
position-to-term rule
sequence
term
13
using rules
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