1.1. Grey squares and white squares are used to make patterns in a sequence. The first three patterns in the sequence are shown. Pattern 4 is incomplete.

Shade squares in Pattern 4 to continue the sequence.

1.2. Complete the table for the patterns in the sequence.

1.3. i) Write an expression, in terms of $n$, for the number of grey squares in Pattern $n$.

[2]

ii) Write an expression, in terms of $n$, for the number of white squares in Pattern $n$.

[2]

1.4. Pattern 10 and Pattern 11 in the sequence are made from grey squares and white squares.

Find the difference between the total number of squares needed to make Pattern 10 and the total number of squares needed to make Pattern 11.

1.5. Pattern $k$ in the sequence needs 61 grey squares.
Find the number of white squares needed for Pattern $k$.