Matchstick Pattern: Number of Matchsticks Needed

Philip used matchsticks to make the patterns shown below.

1. Complete the table below.

   Pattern no. (\(n\))	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)
   No. of matchsticks used (\(K\))	\(6\)		\(16\)

2. Write down a formula, in terms of \(n\), for the number of matchsticks \(K\) needed to make pattern \(n\).
   
3. Use the formula from (b) to find
   1. the number of matchsticks needed to make pattern \(28\),
   2. the pattern number that uses a total of \(2011\) matchsticks.
4. Is there a pattern that is made up of \(340\) matchsticks? Explain.