Shown here are the first four diagrams in a sequence: Diagram 1, Diagram 2, Diagram 3, Diagram 4, and Diagram 5 are displayed on a grid using the symbols O and X.
(a)[1]
Draw Diagram 5 on the grid.
(b)[2]
Complete the table shown below for Diagram 4 and Diagram 5.
(c)[1]
Find an expression, in terms of $n$, for the total count of Os and Xs in Diagram $n$.
(d)[1]
Find the total number of Os and Xs in Diagram 23.
(e)[1]
Describe the rule, in words, for extending the sequence for the number of Os.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate O/X grid shown” …