(a)[2]
Complete the table showing the first five patterns in this sequence.
(b)[2]
Find an expression, in terms of $n$, for the grey-tile count in Pattern $n$.
(c)[2]
Pattern $k$ contains $98$ grey tiles. Find $k$.
(d)[2]
Find an expression, in terms of $n$, for the number of white tiles in Pattern $n$.
(e)[2]
Find the total tile count in Pattern $20$.