Page 159 - Maths Class 06

On observing the table we can say that the number of matchsticks required is five times the number of ’s
formed. Thus,

Number of matchsticks required = 5n
EX AM PLE 1. Find the rule which gives the number of matchsticks required to make the pattern by
putt ing the fol low ing let ters next to one an other in a se quence. Use a vari able to write the
rule.

(a) A pattern of letter Z as (b) A pattern of letter N as

(c) A pattern of letter S as (d) A pattern of letter A as

SOLUTION : (a) The rule for pattern of letter Z is given in the following table:

Number of letters ‘Z’ 1 2 3 4 5 … n

Number of matchsticks 3 6 9 12 15 … 3n

(b) The rule for pattern of letter N is given in the following table:

Number of letters ‘N’ 1 2 3 4 5 … n

Number of matchsticks 3 5 7 9 11 … 2n + 1

(c) The rule for pattern of letter S is given in the following table:

Number of letters ‘S’ 1 2 3 4 5 … n

Number of matchsticks 5 10 15 20 25 … 5n

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