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Direction: Find the next term in the following terms.
25, 49, 81, 121, 169, 225, ?
25, 49, 81, 121, 169, 225, ?
- a)264
- b)266
- c)288
- d)289
Correct answer is option 'D'. Can you explain this answer?
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Direction: Find the next term in the following terms.25, 49, 81, 121, ...
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Direction: Find the next term in the following terms.25, 49, 81, 121, ...
To find the next term in the given sequence, we need to identify the pattern or rule followed by the numbers.
Pattern:
Upon observing the given sequence, we can notice that all the terms are perfect squares.
Explanation:
Let's analyze the given sequence step by step.
- The first term is 25, which is the square of 5: 5^2 = 25.
- The second term is 49, which is the square of 7: 7^2 = 49.
- The third term is 81, which is the square of 9: 9^2 = 81.
- The fourth term is 121, which is the square of 11: 11^2 = 121.
- The fifth term is 169, which is the square of 13: 13^2 = 169.
- The sixth term is 225, which is the square of 15: 15^2 = 225.
Conclusion:
From the pattern observed, it can be concluded that each term in the given sequence is the square of the consecutive odd numbers.
To find the next term, we need to find the square of the next odd number after 15. The next odd number after 15 is 17, and its square is 289 (17^2 = 289).
Therefore, the next term in the sequence is 289.
Final Answer:
The next term in the sequence is 289, so the correct option is D) 289.
Pattern:
Upon observing the given sequence, we can notice that all the terms are perfect squares.
Explanation:
Let's analyze the given sequence step by step.
- The first term is 25, which is the square of 5: 5^2 = 25.
- The second term is 49, which is the square of 7: 7^2 = 49.
- The third term is 81, which is the square of 9: 9^2 = 81.
- The fourth term is 121, which is the square of 11: 11^2 = 121.
- The fifth term is 169, which is the square of 13: 13^2 = 169.
- The sixth term is 225, which is the square of 15: 15^2 = 225.
Conclusion:
From the pattern observed, it can be concluded that each term in the given sequence is the square of the consecutive odd numbers.
To find the next term, we need to find the square of the next odd number after 15. The next odd number after 15 is 17, and its square is 289 (17^2 = 289).
Therefore, the next term in the sequence is 289.
Final Answer:
The next term in the sequence is 289, so the correct option is D) 289.
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Direction: Find the next term in the following terms.25, 49, 81, 121, 169, 225, ?a)264b)266c)288d)289Correct answer is option 'D'. Can you explain this answer?
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Direction: Find the next term in the following terms.25, 49, 81, 121, 169, 225, ?a)264b)266c)288d)289Correct answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Direction: Find the next term in the following terms.25, 49, 81, 121, 169, 225, ?a)264b)266c)288d)289Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Find the next term in the following terms.25, 49, 81, 121, 169, 225, ?a)264b)266c)288d)289Correct answer is option 'D'. Can you explain this answer?.
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