- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.

**(a)** A pattern of letter $ T $ as

**(b)** A pattern of letter $ \mathrm{Z} $ as

**(c)** A pattern of letter $ \mathrm{U} $ as

**(d)** A pattern of letter $ \mathrm{V} $ as

**(e)** A pattern of letter $ \mathrm{E} $ as

**(f)** A pattern of letter $ S $ as

**(g)** A pattern of letter A as "

To do:

We have to find the rule which gives the number of matchsticks required to make the given matchstick patterns.

Solution:

(a) A pattern of letter \( T \) as

From the figure, we observe that two matchsticks are required to make the letter T.

Therefore, the required pattern is $2n$.

(b) A pattern of letter \( \mathrm{Z} \) as

From the figure, we observe that three matchsticks are required to make the letter Z.

Therefore, the required pattern is $3n$.

(c) A pattern of letter \( \mathrm{U} \) as

From the figure, we observe that three matchsticks are required to make the letter .

Therefore, the required pattern is $3n$.

(d) A pattern of letter \( \mathrm{V} \) as

From the figure, we observe that two matchsticks are required to make the letter V.

Therefore, the required pattern is $2n$.

(e) A pattern of letter \( \mathrm{E} \) as

From the figure, we observe that five matchsticks are required to make the letter E.

Therefore, the required pattern is $5n$.

(f) A pattern of letter \( S \) as

From the figure, we observe that five matchsticks are required to make the letter .

Therefore, the required pattern is $5n$.

(g) A pattern of letter A as

From the figure, we observe that six matchsticks are required to make the letter .

Therefore, the required pattern is $6n$.

- Related Articles
- Find the rule which gives the number of matchsticks following matchstick patterns. Use a variable to write the rule:$( a)$ A pattern of letter T as $T$$( b)$ A pattern of letter Z as $Z$
- (a) Look at the following matchstick pattern of squares. 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 theend, you will get a pattern of Cs.)(b) The below figure gives a matchstick pattern of triangles. As in Exercise 11 (a) above
- The scientist who proposed the first letter (or first letter and another letter) of the Latin or English name of an element as its symbol, was :(a) Dalton (b) Proust (c) Lavoisier (d) Berzelius
- Capitalize last letter and Lowercase first letter of a word in Java
- A Letter to God
- Letter Combinations of a Phone Number in Python
- Which of the following are models for perpendicular lines :(a) The adjacent edges of a table top.(b) The lines of a railway track.(c) The line segments forming the letter 'L'.(d) The letter V.
- Is it possible to use MongoDB field value as a pattern in $regex?
- Make first letter of a string uppercase in JavaScript?
- We already know the rule for the pattern of letters \( \mathrm{L}, \mathrm{C} \) and \( \mathrm{F} \). Some of the letters from Q.1 (given above) give us the same rule as that given by L. Which are these? Why does this happen?
- Tips to Write a Good Cover Letter
- Pandas dataframe capitalize first letter of a column
- How to Automatically Increase a Letter by One to Get the Next Letter in Excel?
- Mapping the letter of a string to an object of arrays - JavaScript
- \( \mathrm{ABCD} \) is a rhombus. Show that diagonal \( \mathrm{AC} \) bisects \( \angle \mathrm{A} \) as well as \( \angle \mathrm{C} \) and diagonal \( \mathrm{BD} \) bisects \( \angle \mathrm{B} \) as well as \( \angle \mathrm{D} \).