Class 6 Exam > Class 6 Questions > In the number sequence for Collatz Conjecture...
Start Learning for Free
In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?
- a)3
- b)10
- c)7
- d)5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the number sequence for Collatz Conjecture starting with 12, what i...
According to the Collatz Conjecture, if a number is even, it is divided by 2. The next number after 6 (which is even) is 6 ÷ 2 = 3.
View all questions of this test
Most Upvoted Answer
In the number sequence for Collatz Conjecture starting with 12, what i...
Understanding the Collatz Conjecture
The Collatz Conjecture is a sequence defined as follows:
- Start with any positive integer.
- If the number is even, divide it by 2.
- If the number is odd, multiply it by 3 and add 1.
- Repeat the process for the resulting number.
Starting with 12
Let's see how the sequence progresses starting with 12:
- 12 (even) → 12 / 2 = 6
- 6 (even) → 6 / 2 = 3
Next Number After 6
Now, we need to find the next number after 6:
- 6 is even, so we divide it by 2:
- 6 / 2 = 3
Thus, after 6, the next number in the sequence is 3.
Options Analysis
Let's review the given options:
- a) 3 (correct answer)
- b) 10 (incorrect)
- c) 7 (incorrect)
- d) 5 (incorrect)
Conclusion
The next number after 6 in the Collatz sequence starting from 12 is indeed 3, making option 'A' the correct choice. This process illustrates how the Collatz Conjecture works, demonstrating the sequence's fascinating and simple rule-based nature.
The Collatz Conjecture is a sequence defined as follows:
- Start with any positive integer.
- If the number is even, divide it by 2.
- If the number is odd, multiply it by 3 and add 1.
- Repeat the process for the resulting number.
Starting with 12
Let's see how the sequence progresses starting with 12:
- 12 (even) → 12 / 2 = 6
- 6 (even) → 6 / 2 = 3
Next Number After 6
Now, we need to find the next number after 6:
- 6 is even, so we divide it by 2:
- 6 / 2 = 3
Thus, after 6, the next number in the sequence is 3.
Options Analysis
Let's review the given options:
- a) 3 (correct answer)
- b) 10 (incorrect)
- c) 7 (incorrect)
- d) 5 (incorrect)
Conclusion
The next number after 6 in the Collatz sequence starting from 12 is indeed 3, making option 'A' the correct choice. This process illustrates how the Collatz Conjecture works, demonstrating the sequence's fascinating and simple rule-based nature.
|
Explore Courses for Class 6 exam
|
|
Similar Class 6 Doubts
Top Courses for Class 6View all
Question Description
In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. 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 In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. 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 In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer?.
In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. 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 In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. 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 In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer?.
Solutions for In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. 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 In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. 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 to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup