Mathematics 4024 · O Level · Sequences

Sequences — practice question

The first four patterns belong to a sequence built from black beads and white beads.
(a)[1]

Fill in the table entry for Pattern $5$.

(b(i))[2]

Write an expression for the number of white beads in Pattern $n$.

(b(ii))[2]

Write an expression for the total number of beads in Pattern $n$.

(c)[2]

Bill has only $88$ white beads but plenty of black beads. Pattern $p$ is the largest pattern he can build with these beads. Find the value of $p$.

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