Figure gives a matchstick pattern of triangles. As in question 11 (a) above, find the general rule that gives the number of matchsticks in terms of the number of triangles.




From the above given figures it can be observed that,


The number of matchsticks in the above given pattern are 3, 5, 7 and 9 respectively


i.e., The matchstick are 1 more than the twice of the number of triangles in the pattern


Hence,


The pattern for above given figures will be:


2n + 1


Where n is the number of triangles


15