Display the terms of an arithmetic sequence in both tabular and graphical form and demonstrate that arithmetic sequences can be used to model linear growth and decay in discrete situations.

A library's book collection is being reduced by a fixed number of books each month as part of a downsizing program. At the end of Month 1, the library has 8,240 books. At the end of Month 2, it has 8,170 books. At the end of Month 3, it has 8,100 books. (a) Complete the table below to show the number of books at the end of each of the first six months. (b) Display all six data points from the completed table on the grid below. Label both axes with appropriate titles and scales. [Grid provided: blank Cartesian plane with gridlines]

A parking company charges a base fee of $5 on the first day, and increases the daily charge by $3 each day thereafter. Complete the table showing the daily charges for the first 7 days, then display the data in a scatterplot with labelled axes on the grid provided.

A water tank loses 120 litres of water each week due to evaporation. The tank initially contains 2,400 litres. (a) Complete the table showing the volume of water in the tank at the end of each week for the first 5 weeks. (1 mark) (b) Display these values on the grid provided, with the volume on the vertical axis and the week number on the horizontal axis. Label both axes clearly. (2 marks)