Page 162 - Maths Class 06

3. Look at the pattern of triangles made with matchsticks:

1 2 3 4
Complete the table.

Number of triangles 1 2 3 5 6 11 n

Number of matchsticks 3 5 7

4. Look at the pattern and complete the table:

1 2 3 4

Number of squares 1 2 3 4 7 15 n

Number of matchsticks 4 8 12

Number of dots 4 7 10

5. Using the given formula, complete the table:

Series Formula Term to be bind

(a) 16, 19, 22, 25, … 3n + 13 25th term =

(b) 5, 12, 19, 26, … 7n - 2 100th term =

(c) –1, 2, 5, 8, ... 3n - 4 31th term =

6. Find the formula which gives the number of matchsticks required to make the nth pattern of each
of the following:
(a) L (b) W (c) T (d) Z

Use of Variables in Common Rules

Let us represent the common rules that we have already learnt using these variables.
Rules from Geometry

We know, Perimeter is defined as the sum of all the sides of a closed figure. We know,
1. The perim eter of an equilateral trian gle = 3 × side
= 3s s s

Where s is a vari able that represents the side.
s

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