Mathematics 4024 · O Level · Sequences

Sequences — practice question

The diagrams illustrate the first four arrangements in the sequence.
(a(i))[1]

Draw Pattern $5$ in the grid.

(a(ii))[2]

Complete the table to show the totals of triangles.

(a(iii))[1]

Write an expression, in terms of $n$, for how many triangles Pattern $n$ contains.

(a(iv))[2]

Write an expression, in terms of $n$, for the count of white triangles in Pattern $n$.

(b(i))[2]

The $3$rd term of a linear sequence is $34$. The $8$th term is $14$. Find the value of the first term.

(b(ii))[1]

Find the value of the first negative term in this sequence.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct shaded triangular arrangement

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