Mathematics 0580 · IGCSE · Sequences

Sequences — practice question

Marco is creating patterns using grey and white circular mats. Pattern 1, Pattern 2, Pattern 3 and Pattern 4 are illustrated as triangular groups of circles. These patterns make a sequence. Marco then prepares a table to display some information about the patterns.
(a)[2]

Fill in the table for Pattern 5.

(b)[2]

Write an expression, in terms of $n$, for the number of grey mats in Pattern $n$.

(c)[2]

Work out the total number of mats in this pattern.

(d)[6]

Find the value of $a$ and the value of $b$.

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