Look at the following matchstick pattern
Construct a table showing the number of matchsticks against the number of trapeziums and write down the generalised statement for $n$ trapeziums.

Open in App

Solution

Generalised form of the trapezium = $4 n + 1 .$
Number of trapeziums $1$ $2$ $3$
Number of matchsticks $5$ $9$ $13$

Suggest Corrections

Similar questions

In the figure (b) , write down the expression for the number of matchsticks in the nth shape.

Look at this pattern of trapezium made with matchsticks and answer the following questions. How many matchsticks do you think are needed to make:

5 trapeziums

A matchstick's pattern of trapeziums is shown. They are not separate and two neighboring trapeziums have a common matchstick. Can you find the rule for this pattern that gives the number of matchsticks in terms of the number of trapeziums ( where $x$ represents the number of trapeziums)?

Look at the patterns made by the matchsticks . Complete the tables and find a general formula.

Number of triangles (x)	1	2	3	4	5	6	7	8
Number of matchsticks (y)	3	6

Look at the patterns made by matchsticks. Complete the tables and find a general formula.

Number of double squares (x)	1	2
Number of matchsticks (y)	7	12

Join BYJU'S Learning Program

Number of trapeziums	$1$	$2$	$3$
Number of matchsticks	$5$	$9$	$13$

Look at the following matchstick patternConstruct a table showing the number of matchsticks against the number of trapeziums and write down the generalised statement for n trapeziums.

Generalised form of the trapezium = 4n+1.Number of trapeziums 123Number of matchsticks5913

Look at the following matchstick pattern
Construct a table showing the number of matchsticks against the number of trapeziums and write down the generalised statement for $n$ trapeziums.

Generalised form of the trapezium = $4 n + 1 .$
Number of trapeziums $1$ $2$ $3$
Number of matchsticks $5$ $9$ $13$