The set of diagrams shown above is formed from tiny lines and dots.
(a)[4]
Complete the table by filling in the missing entries.
(b)[2]
For Diagram $n$, find an expression, in terms of $n$, for how many small lines there are.
(c)[2]
Diagram $r$ contains 10 300 small lines. Determine the value of $r$.
(d)[2]
The number of dots in Diagram $n$ is $an^2 + bn + 1$. Determine the value of $a$ and the value of $b$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct sequences are $40,54$ and $26,34$” …
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