Download Generating Sequences Worksheet - CORE

Generating Sequences Worksheet
1. Give the next two terms in each of the sequences and describe the
term to term rule you have used.
(L4)
i) 2, 4, 6, …
ii) 3, 6, 9, …
iii) 1, 10, 100,…
iv) 1, 2, 4, …
2. Give the next two terms in each of the sequences and describe the
term to term rule you have used.
(L4)
i) 50, 45, 40, 35, 30, …
iii) 64, 32, 16, 8, 4, …
ii) 35, 32, 29, 26, 23, …
iv) 3125, 625, 125, 25, 5, …
3. Find the two terms between each pair of numbers to form a sequence.
Describe the term to term rule you have used.
(L5)
i) 1, …, …, 8
ii) 3, …, …, 12
iii) 5, …, …, 20
4. Copy and Complete the table for the number of yellow squares and the
number of black squares.
(L6)
Pattern 1
Pattern 2
Pattern 3
Pattern 4
Pattern
1
2
3
4
5
6
Black Squares
2
Yellow Squares
7
i) How many black and yellow squares will there be in patterns 5 and 6?
ii) Find the nth term for the number of black squares.
iii) Find the nth term for the number of yellow squares.
iv) Use your nth term rules to find how many black and yellow squares there
would be in pattern 134.