1. Sequences Write down the next 3 terms in each sequence:
1) 2, 4, 6, 8, 10, ……..
2) 1, 3, 5, 7, 9, ……..
3) 4, 7, 10, 13, 16, ……..
4) 1, 5, 9, 13, 17, ……..
5) 6, 12, 18, 24, 30, ……..
6) 5, 7, 9, 11, 13, ……..
7) 13, 10, 7, 4, 1, ……..
8) 1, 2, 4, 8, 16, ……..
9) 1, 4, 9, 16, 25, ……..
10) 2, 6, 18, 54, 162, ……..
11) 1, 3, 6, 10, 15, 21, ……..
12) 3, 8, 15, 24, 35, ……..
13) 1, 1, 2, 3, 5, 8, ……..
Can you find what the 20th number will be in each sequence?
Can you do this without finding the 19th number in each sequence?

2. Linear sequences
A linear sequence is a sequence where the next term in the sequence is found by adding (or taking) the same number over and over again.
Eg. 3, 8, 13, 18, 23, 28, ……………….. (keep adding 5) Eg. 8, 6, 4, 2, 0, -2, …………………. (keep taking 2)
Linear sequences can always be described using a linear formula:
Write down the first 5 terms of the sequence described by each formula.
Eg 3n
Eg 2n
Eg 2n + 3
Eg 5n - 1

3. Find the first 5 terms of the sequences described by these linear formulae:

4. Suppose a sequence begins
2, 4, ………………….
Would could the formula be?