Linear Sequence

1.1 The square grids below the continuous line depict negative numbers and those above the line positive numbers. Study the square grids shown above with black squares forming a pattern. How is the pattern growing? Create square grids 9, 10 and 11; complete them with black squares to further develop the pattern.

1.2 How many small black squares are in the grids in the 9^th, 10^th and 11^th positions?

1.3 Can you predict the number of small black squares in the grids in the 50^th and 100^th positions?

1.4 What numerical number pattern can be formed from the black squares in each grid?

1.5 Obtain the general term, T_n, for this number pattern.

1.6 What is the mathematical name given to this kind of number pattern?

1.7 If there are 602 black squares in a square grid, determine n, the position of the square grid.

Click here to download linear sequences worksheet.
Click here for the Notes for Teachers.