(i) Pattern of T
T, TT, TTT, TTTT, …………….
It is clear from figure, that we need two matchsticks to make one pattern of T. Let we has to make n, T, then numbers of matchsticks are as follow
Number of matchsticks required for one T = 2
Similarly, number of matchsticks required for nT = 2 × n = 2n.
(ii) Pattern of N
N, NN, NNN, NNNN, …………….
It is clear from figures, that we need three matchsticks to make on pattern of N. Let we has to make n, N, then
Number of matchsticks required will be = n × 3 = 3n
(iii) Pattern of W
W, WW, WWW, WWWW, …………….
It is clear from figure, that we need four matchsticks to make one pattern of W, let we has to make n, W, then
Number of matchsticks required will be = n × 4 = 4n.