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.)

(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.

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.

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

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

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

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

Find the rule that gives the number of matchsticks required to make the following pattern. Also, find the number of matchsticks required to make a pattern of 9 diamonds.

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

Find the rule that gives the number of matchsticks required to build the following pattern. Also find the number of matchsticks required to make a pattern with 6 squares at the base.

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