Class 6 Exam > Class 6 Questions > How many dots are in the third triangular num...
Start Learning for Free
How many dots are in the third triangular number?
- a)3
- b)6
- c)9
- d)12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
How many dots are in the third triangular number?a)3b)6c)9d)12Correct ...
The third triangular number has 6 dots, forming a triangle with 3 rows.
View all questions of this test
Most Upvoted Answer
How many dots are in the third triangular number?a)3b)6c)9d)12Correct ...
Understanding Triangular Numbers
Triangular numbers are a sequence of numbers that can form an equilateral triangle. The nth triangular number is the total number of dots that can be arranged in a triangle with n rows.
Formula for Triangular Numbers
To find the nth triangular number, we use the formula:
Here, T(n) represents the nth triangular number.
Calculating the Third Triangular Number
To find the third triangular number (n = 3):
So, the third triangular number is 6.
Visualizing the Third Triangular Number
You can visualize the arrangement of dots as follows:
When you add these up:
This confirms that the total number of dots in the third triangular number is indeed 6.
Conclusion
Thus, the correct answer to the question about the number of dots in the third triangular number is option 'B', which is 6.
Triangular numbers are a sequence of numbers that can form an equilateral triangle. The nth triangular number is the total number of dots that can be arranged in a triangle with n rows.
Formula for Triangular Numbers
To find the nth triangular number, we use the formula:
- T(n) = n(n + 1) / 2
Here, T(n) represents the nth triangular number.
Calculating the Third Triangular Number
To find the third triangular number (n = 3):
- T(3) = 3(3 + 1) / 2
- T(3) = 3(4) / 2
- T(3) = 12 / 2
- T(3) = 6
So, the third triangular number is 6.
Visualizing the Third Triangular Number
You can visualize the arrangement of dots as follows:
- First row: 1 dot
- Second row: 2 dots
- Third row: 3 dots
When you add these up:
- 1 + 2 + 3 = 6
This confirms that the total number of dots in the third triangular number is indeed 6.
Conclusion
Thus, the correct answer to the question about the number of dots in the third triangular number is option 'B', which is 6.
|
Explore Courses for Class 6 exam
|
|
Similar Class 6 Doubts
Top Courses for Class 6View all
Question Description
How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer?.
How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer?.
Solutions for How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 6.
Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free.
Here you can find the meaning of How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer?, a detailed solution for How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many dots are in the third triangular number?a)3b)6c)9d)12Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 6 tests.
|
|
Explore Courses for Class 6 exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily