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In which sequence can 36 be both a square number and a triangular number?
- a)1, 3, 6, 10, 15, 21...
- b)4, 9, 16, 25, 36, 49...
- c)6, 12, 18, 24, 36, 48...
- d)1, 2, 3, 4, 5, 6...
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In which sequence can 36 be both a square number and a triangular numb...
36 is both a square number (6x6) and a triangular number in the sequence of triangular numbers formed by arranging dots in triangles.
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In which sequence can 36 be both a square number and a triangular numb...
Explanation:
Triangular numbers:
- Triangular numbers are numbers that can be arranged in the shape of an equilateral triangle.
- The formula to calculate the nth triangular number is given by Tn = n(n+1)/2.
Square numbers:
- Square numbers are numbers that result from multiplying a number by itself.
- The formula to calculate the square of a number n is given by n^2.
Identifying the sequence:
- To find a number that is both a square number and a triangular number, we need to look for a number in a sequence that satisfies both conditions.
- In the sequence 4, 9, 16, 25, 36, 49..., the number 36 is both a square number (6^2 = 36) and a triangular number (T8 = 36).
Therefore, in the given options, option 'B' (4, 9, 16, 25, 36, 49...) is the sequence where 36 is both a square number and a triangular number.
Triangular numbers:
- Triangular numbers are numbers that can be arranged in the shape of an equilateral triangle.
- The formula to calculate the nth triangular number is given by Tn = n(n+1)/2.
Square numbers:
- Square numbers are numbers that result from multiplying a number by itself.
- The formula to calculate the square of a number n is given by n^2.
Identifying the sequence:
- To find a number that is both a square number and a triangular number, we need to look for a number in a sequence that satisfies both conditions.
- In the sequence 4, 9, 16, 25, 36, 49..., the number 36 is both a square number (6^2 = 36) and a triangular number (T8 = 36).
Therefore, in the given options, option 'B' (4, 9, 16, 25, 36, 49...) is the sequence where 36 is both a square number and a triangular number.
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In which sequence can 36 be both a square number and a triangular number?a)1, 3, 6, 10, 15, 21...b)4, 9, 16, 25, 36, 49...c)6, 12, 18, 24, 36, 48...d)1, 2, 3, 4, 5, 6...Correct answer is option 'B'. Can you explain this answer?
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