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The missing number in the given sequence 343,1331,______, 4913 is
- a)2744
- b)2197
- c)4096
- d)3375
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The missing number in the given sequence 343,1331,______, 4913 isa)274...
343 = 73
1331 = 113
4913 = 173
All numbers given are cube of prime numbers so 133 = 2197 satisfy the missing number.
1331 = 113
4913 = 173
All numbers given are cube of prime numbers so 133 = 2197 satisfy the missing number.
Most Upvoted Answer
The missing number in the given sequence 343,1331,______, 4913 isa)274...
Explanation:
The given sequence is 343, 1331, ______, 4913.
To find the missing number in the sequence, we need to identify the pattern or rule followed by the sequence.
Observation:
The given sequence consists of perfect cubes of numbers.
Pattern:
The pattern in the given sequence is that each number is the cube of the next consecutive odd number.
Let's analyze the given sequence to understand the pattern:
- 343 = 7^3
- 1331 = 11^3
- ______ = x^3 (Let's consider this as the missing number)
- 4913 = 17^3
Analysis:
From the given sequence, we can see that each number is obtained by cubing the next consecutive odd number.
- 343 is obtained by cubing 7 (7^3)
- 1331 is obtained by cubing 11 (11^3)
- 4913 is obtained by cubing 17 (17^3)
So, for the missing number, we need to find the cube of the next consecutive odd number after 11.
Solution:
The next consecutive odd number after 11 is 13.
Therefore, the missing number in the sequence is 13^3 = 2197.
Conclusion:
The missing number in the given sequence 343, 1331, ______, 4913 is 2197 (Option B).
The given sequence is 343, 1331, ______, 4913.
To find the missing number in the sequence, we need to identify the pattern or rule followed by the sequence.
Observation:
The given sequence consists of perfect cubes of numbers.
Pattern:
The pattern in the given sequence is that each number is the cube of the next consecutive odd number.
Let's analyze the given sequence to understand the pattern:
- 343 = 7^3
- 1331 = 11^3
- ______ = x^3 (Let's consider this as the missing number)
- 4913 = 17^3
Analysis:
From the given sequence, we can see that each number is obtained by cubing the next consecutive odd number.
- 343 is obtained by cubing 7 (7^3)
- 1331 is obtained by cubing 11 (11^3)
- 4913 is obtained by cubing 17 (17^3)
So, for the missing number, we need to find the cube of the next consecutive odd number after 11.
Solution:
The next consecutive odd number after 11 is 13.
Therefore, the missing number in the sequence is 13^3 = 2197.
Conclusion:
The missing number in the given sequence 343, 1331, ______, 4913 is 2197 (Option B).
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The missing number in the given sequence 343,1331,______, 4913 isa)2744b)2197c)4096d)3375Correct answer is option 'B'. Can you explain this answer?
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