Class 5 Exam > Class 5 Questions > What is the next number in the sequence: 2, 6...
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What is the next number in the sequence: 2, 6, 12, 20, ___?
- a)24
- b)30
- c)36
- d)42
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
What is the next number in the sequence: 2, 6, 12, 20, ___?a)24b)30c)3...
The sequence is increasing by adding consecutive odd numbers: 1, 3, 5, 7. So, the next number is 20 + 9 = 30.
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What is the next number in the sequence: 2, 6, 12, 20, ___?a)24b)30c)3...
Understanding the Sequence
The sequence given is: 2, 6, 12, 20. To find the next number, we need to identify a pattern.
Identifying Differences
Let's examine the differences between consecutive numbers:
- 6 - 2 = 4
- 12 - 6 = 6
- 20 - 12 = 8
The differences are: 4, 6, 8.
Recognizing a Pattern
Now, let's analyze the differences:
- The first difference is 4.
- The second difference is 6 (which is 4 + 2).
- The third difference is 8 (which is 6 + 2).
We can see that the differences are increasing by 2 each time.
Continuing the Pattern
Following this pattern, the next difference should be:
- 8 + 2 = 10.
Calculating the Next Number
Now, we add this next difference to the last number in the sequence:
- 20 + 10 = 30.
Thus, the next number in the sequence is 30.
Conclusion
The correct answer is option 'B': 30.
This process illustrates how recognizing patterns and differences can help in predicting the next number in a sequence.
The sequence given is: 2, 6, 12, 20. To find the next number, we need to identify a pattern.
Identifying Differences
Let's examine the differences between consecutive numbers:
- 6 - 2 = 4
- 12 - 6 = 6
- 20 - 12 = 8
The differences are: 4, 6, 8.
Recognizing a Pattern
Now, let's analyze the differences:
- The first difference is 4.
- The second difference is 6 (which is 4 + 2).
- The third difference is 8 (which is 6 + 2).
We can see that the differences are increasing by 2 each time.
Continuing the Pattern
Following this pattern, the next difference should be:
- 8 + 2 = 10.
Calculating the Next Number
Now, we add this next difference to the last number in the sequence:
- 20 + 10 = 30.
Thus, the next number in the sequence is 30.
Conclusion
The correct answer is option 'B': 30.
This process illustrates how recognizing patterns and differences can help in predicting the next number in a sequence.
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What is the next number in the sequence: 2, 6, 12, 20, ___?a)24b)30c)36d)42Correct answer is option 'B'. Can you explain this answer?
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