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The next term of the sequence, 2, 6, 12, 20, …..is
- a)30
- b)28
- c)40
- d)24
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d...
The given sequence is based on the following pattern:
∴ Required number = 30.
∴ Required number = 30.
Most Upvoted Answer
The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d...
Understanding the Sequence
The given sequence is: 2, 6, 12, 20, ...
To find the next term, we should first analyze the differences between the terms.
Calculating Differences
- The difference between the 1st term (2) and the 2nd term (6) is:
6 - 2 = 4
- The difference between the 2nd term (6) and the 3rd term (12) is:
12 - 6 = 6
- The difference between the 3rd term (12) and the 4th term (20) is:
20 - 12 = 8
When we look at these differences (4, 6, 8), we can see a pattern:
Identifying the Pattern
- The differences are increasing by 2 each time:
4 (2nd term)
6 (3rd term)
8 (4th term)
Thus, we can predict that the next difference will be:
8 + 2 = 10
Finding the Next Term
Now, to find the next term in the sequence, we can add this difference to the last term (20):
- Next term = 20 + 10 = 30
Conclusion
Therefore, the next term in the sequence is 30, which corresponds to option 'A'.
The given sequence is: 2, 6, 12, 20, ...
To find the next term, we should first analyze the differences between the terms.
Calculating Differences
- The difference between the 1st term (2) and the 2nd term (6) is:
6 - 2 = 4
- The difference between the 2nd term (6) and the 3rd term (12) is:
12 - 6 = 6
- The difference between the 3rd term (12) and the 4th term (20) is:
20 - 12 = 8
When we look at these differences (4, 6, 8), we can see a pattern:
Identifying the Pattern
- The differences are increasing by 2 each time:
4 (2nd term)
6 (3rd term)
8 (4th term)
Thus, we can predict that the next difference will be:
8 + 2 = 10
Finding the Next Term
Now, to find the next term in the sequence, we can add this difference to the last term (20):
- Next term = 20 + 10 = 30
Conclusion
Therefore, the next term in the sequence is 30, which corresponds to option 'A'.
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The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d)24Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d)24Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d)24Correct answer is option 'A'. Can you explain this answer?.
The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d)24Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d)24Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d)24Correct answer is option 'A'. Can you explain this answer?.
Solutions for The next term of the sequence, 2, 6, 12, 20, …..isa)30b)28c)40d)24Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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