1. How to find the nth rule for a linear sequence
24/04/2019
D. Smith

2. Find the nth rule for this sequence: 5, 8, 11, 14, 17…
Make a table with 5 columns and write the position of the terms – 1st 2nd 3rd 4th etc as the n numbers in the first column n 1 2 3 4 5
24/04/2019
D. Smith

3. Put the terms into the second column, 5, 8, 11, 14, 17…2 8 3 11 4 14 17 6
24/04/2019
D. Smith

4. Find the difference between the terms 8 – 5 = 3 and write it in the third column1 5 3 2 8 11 4 14 17 6
24/04/2019
D. Smith

5. Write the difference number multiplied by the n number in the fourth column
Term
Difference 3n 1 5 3 2 8 6 11 9 4 14 12 17 15
24/04/2019
D. Smith

6. Write the difference between the value of 3n and the term in the fifth column1 5 3 2 8 6 11 9 4 14 12 17 15
24/04/2019
D. Smith

7. The nth rule is:
Term = 3n + 2
24/04/2019
D. Smith