Look at the following matchstick pattern of squares (see fig.). 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.)

(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.

The given figure gives a matchstick pattern of triangles. As in above, find the general rule that gives the number of matchsticks in terms of the number of triangles.

Find out the number of squares in the given pattern.

Find out the number of squares in the given pattern.

Find out the number of squares in the given pattern.

Find the pattern followed in given figure and the number of matchsticks used in 86^(th) figure.