CLAT Exam > CLAT Questions > What is the next number in the series 1, 4, 9...
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What is the next number in the series 1, 4, 9, 16, ...?
- a)25
- b)20
- c)24
- d)18
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the next number in the series 1, 4, 9, 16, ...?a)25b)20c)24d)1...
The given series is formed by squaring consecutive natural numbers (1, 2, 3, 4, ...). So, the next number in the series is 5^2 = 25.
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Most Upvoted Answer
What is the next number in the series 1, 4, 9, 16, ...?a)25b)20c)24d)1...
Understanding the Series
The sequence provided is: 1, 4, 9, 16, ...
This series consists of perfect squares of natural numbers. Let's analyze each number:
- 1 = 1²
- 4 = 2²
- 9 = 3²
- 16 = 4²
Identifying the Pattern
The pattern here is that each term is the square of consecutive natural numbers.
- The first term (1) is the square of 1.
- The second term (4) is the square of 2.
- The third term (9) is the square of 3.
- The fourth term (16) is the square of 4.
Finding the Next Number
Following the pattern, the next term in the sequence should be the square of the next natural number (which is 5):
- 5² = 25
Conclusion
Thus, the next number in the series is 25.
- Therefore, the correct answer is option 'A' (25).
This understanding of recognizing squares of natural numbers allows us to easily identify the next term in such sequences.
The sequence provided is: 1, 4, 9, 16, ...
This series consists of perfect squares of natural numbers. Let's analyze each number:
- 1 = 1²
- 4 = 2²
- 9 = 3²
- 16 = 4²
Identifying the Pattern
The pattern here is that each term is the square of consecutive natural numbers.
- The first term (1) is the square of 1.
- The second term (4) is the square of 2.
- The third term (9) is the square of 3.
- The fourth term (16) is the square of 4.
Finding the Next Number
Following the pattern, the next term in the sequence should be the square of the next natural number (which is 5):
- 5² = 25
Conclusion
Thus, the next number in the series is 25.
- Therefore, the correct answer is option 'A' (25).
This understanding of recognizing squares of natural numbers allows us to easily identify the next term in such sequences.
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Community Answer
What is the next number in the series 1, 4, 9, 16, ...?a)25b)20c)24d)1...
Understanding the Series
The given series is: 1, 4, 9, 16, ...
Identifying the Pattern
- The numbers in the series are perfect squares.
- Each number corresponds to the square of a whole number:
- 1 = 1^2
- 4 = 2^2
- 9 = 3^2
- 16 = 4^2
Finding the Next Number
- Continuing the pattern, the next number should be the square of the next whole number.
- The next whole number after 4 is 5.
- Therefore, we calculate:
- 5^2 = 25
Conclusion
- The next number in the series is 25.
- Hence, the correct answer is option 'A'.
Summary
- The series consists of perfect squares.
- The next term is obtained by squaring the next integer:
- 1 (1^2), 4 (2^2), 9 (3^2), 16 (4^2), and 25 (5^2).
- This confirms that the next number in the series is 25.
The given series is: 1, 4, 9, 16, ...
Identifying the Pattern
- The numbers in the series are perfect squares.
- Each number corresponds to the square of a whole number:
- 1 = 1^2
- 4 = 2^2
- 9 = 3^2
- 16 = 4^2
Finding the Next Number
- Continuing the pattern, the next number should be the square of the next whole number.
- The next whole number after 4 is 5.
- Therefore, we calculate:
- 5^2 = 25
Conclusion
- The next number in the series is 25.
- Hence, the correct answer is option 'A'.
Summary
- The series consists of perfect squares.
- The next term is obtained by squaring the next integer:
- 1 (1^2), 4 (2^2), 9 (3^2), 16 (4^2), and 25 (5^2).
- This confirms that the next number in the series is 25.
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