Mathematics 0580 · IGCSE · Sequences

Sequences — practice question

Below are the first three diagrams in the sequence. Each diagram is constructed from line segments of length 1 cm.
(a(i))[1]

Determine the area of Diagram 4.

(a(ii))[1]

Find the area of Diagram $n$, expressing your answer in terms of $n$.

(b(i))[1]

Work out how many 1 cm lines are needed to draw Diagram 4.

(b(ii))[1]

Which diagram requires 118 lines of length 1 cm?

(c)[6]

Determine the value of $a$ and the value of $b$. Show all your working.

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