Sequences Example This is a sequence of tile patterns. Write down the first eight terms of the number sequence formed by giving the number of tiles in the 1st pattern, number of tiles in the 2nd pattern, and so on.

Example For each of the following draw the next two diagrams and write down the first five terms for the number of dots in each sequence. (i) (ii)

Example The following diagrams are made from arranging cocktail sticks. Draw the next two diagrams Write down the sequence of number of cocktail sticks used in each diagram. (i)

(ii)

(iii)

Example The following pattern is made up with lines of length 1cm. Draw the next pattern in the sequence Copy and complete the table below for the first five terms Term 1 2 3 4 5 Number of small triangles 9 Number of 1cm lines 18

Example Consider the sequence 1, 4, 7, 10, ...... What is the 5th term? What is the 10th term? Describe the sequence in words.