Question 5: Let n be a positive integer and consider a 1 n board Bn consisting of n cells. each one having sides of length one. The top part of the figure below shows B You have an unlimited supply of bricks, which are of the following types (see the bottom part of the figure above) There are red (R) and blue (B) bricks, both of which are 1 1 cells. We refer to these bricks as squares. There are green (G) bricks, which are 1 2 cells. We refer to these as dominoes. A tiling of the board Bn is a placement of bricks on the board such that the bricks exactly cover B no two bricks overlap In a tiling, a color can be used more than once and some colors may not be used at all. The figure below shows an example of a tiling of Bg Let Tn be the number of different tilings of the board Bn Determine Ti, T2, and T3 For any integer n 2 1, express Tn in terms of numb ers that appear in this assig ment