Arithmetic Sequence

Also known as a Arithmetic Progression

1) Write down an expression for the nth term of this arithmetic sequence ?
7, 12, 17, 22

Look at the difference between the consecutive numbers.
The difference is +5, so the nth term is related to the 5 times table.
Compare the sequence with the numbers in the 5 times table.
How do we get from the value in the 5 times table to the number in the sequence.
This gives a constant difference of +2.
The nth term expression is 5n + 2

2) Write down an expression for the nth term of this arithmetic sequence ?
2, 5, 8, 11

n = 3n -1

3) Write down an expression for the nth term of this arithmetic sequence ?
28, 23, 18, 13

n = -5n + 33

4) Write down an expression for the nth term of this arithmetic sequence ?
5, 9, 13, 17

5) Write down an expression for the nth term of this arithmetic sequence ?
2, 9, 16, 23

6) Write down an expression for the nth term of this arithmetic sequence ?
3, 9, 15, 21

7) Write down an expression for the nth term of this arithmetic sequence ?
3, 7, 11, 15

8) Write down an expression for the nth term of this arithmetic sequence ?
4, 7, 10, 13