a Look at the following matchstick pattern of squares Fig 116 The squares are not separate Two neigh...

Question

a Look at the following matchstick pattern of squares Fig 116 The squares are not separate Two neighbouring squares have a common matchstick Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares Hint If you remove vertical stick at the end you will get a pattern of Cs b Fig 117 gives a matchstick pattern of triangles As in Exercise 11 a above find the general rule that gives the number of matchsticks in terms of the number of triangles

Accepted Answer

a We may observe that in the given matchstick pattern the number of matchsticks are 4 7 10 and 13 which is 1 more than the thrice of the number of squares in the pattern Therefore the pattern is 3x 1 where x is the number of squares b We may observe that in the given matchstick pattern the number of matchsticks are 3 5 7 and 9 which is 1 more than the twice of the number of triangles in the pattern Therefore the pattern is 2x 1 where x is the number of triangles

NCERT Solutions Class 6 Mathematics Solutions for Exercise 11.1 in Chapter 11 - Algebra