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Make the matchstick pattern of the letters given below. Draw the figures of the patterns in your notebook. Create rules to find out number of matchsticks required for each pattern. (You can use literals like a, b, x, y e.t.c. to create rules). 

(i) T pattern of T, T, TT ……………. 

(ii) N pattern of N, N, NN, ……………. 

(iii) W pattern of W, W, WW, …………….

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(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.

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