Figs. Below gives a matchstick pattern of triangles. Find the general rule that gives the number of matchsticks in terms of the number of triangles.

(a) Look at the following matchstick pattern of squares (Fig 11.6). 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 the vertical stick at the end, you will get a pattern of Cs.)(b) Fig 11.7 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.

Look at the following matchstick pattern of squares. The squares are not separate. Two neighboring 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 the vertical stick at the end, you will get a pattern of Cs.)

Write the rule that gives the number of matchsticks required to make a pattern of letter M.

Write the rule that gives the number of matchsticks required to make the following pattern.

Find the rule which gives the number of matchsticks required to make a pattern of n such shapes.

Give the number of N and M ?

Give the number of N and M ?

Find a rule gives the number of matchsticks required to make a pattern of the letter E as shown.

Find a rule that gives the number of line segments required to make the following pattern.

Find a rule that gives the number of line segments required to make the following pattern of squares.