This worksheet presents a series of diagrammatic sequences, each with only the first three terms displayed. Students are required to draw the fourth term of each of these sequences as well as answer questions such as “How many sticks will be needed for the 6th term?” and “Can a term be made using 19 white tiles?”.

The first 8 sequences are linear and the last pattern represents a geometric progression. This time students are asked to consider how this sequence is different from the others. The patterns are made using sticks, white and grey tiles and dots. To start linking sequences and algebra see our worksheet “Expressing Patterns Algebraically”.