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What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?
- a)13
- b)14
- c)15
- d)16
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the next number in the triangular number sequence: 1, 3, 6, 10...
Triangular numbers are formed by adding consecutive numbers. After 10, the next triangular number is 10 + 5 = 15.
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What is the next number in the triangular number sequence: 1, 3, 6, 10...
Understanding Triangular Numbers
Triangular numbers are a sequence of numbers that can form an equilateral triangle. The n-th triangular number is the sum of the first n natural numbers. The sequence starts with:
- T1 = 1 (1)
- T2 = 1 + 2 = 3
- T3 = 1 + 2 + 3 = 6
- T4 = 1 + 2 + 3 + 4 = 10
Now, let’s find the next triangular number.
Calculating the Next Number
To find the next triangular number (T5), we calculate:
- T5 = T4 + 5
- T5 = 10 + 5 = 15
Thus, the next number in the sequence is 15.
Triangular Number Sequence Recap
The triangular numbers we have so far are:
- 1 (T1)
- 3 (T2)
- 6 (T3)
- 10 (T4)
- 15 (T5, which we just calculated)
Conclusion
Therefore, the next number in the triangular number sequence after 1, 3, 6, and 10 is:
- Option C) 15
This shows how the pattern continues, adding successive natural numbers to the previous total to find the next triangular number.
Triangular numbers are a sequence of numbers that can form an equilateral triangle. The n-th triangular number is the sum of the first n natural numbers. The sequence starts with:
- T1 = 1 (1)
- T2 = 1 + 2 = 3
- T3 = 1 + 2 + 3 = 6
- T4 = 1 + 2 + 3 + 4 = 10
Now, let’s find the next triangular number.
Calculating the Next Number
To find the next triangular number (T5), we calculate:
- T5 = T4 + 5
- T5 = 10 + 5 = 15
Thus, the next number in the sequence is 15.
Triangular Number Sequence Recap
The triangular numbers we have so far are:
- 1 (T1)
- 3 (T2)
- 6 (T3)
- 10 (T4)
- 15 (T5, which we just calculated)
Conclusion
Therefore, the next number in the triangular number sequence after 1, 3, 6, and 10 is:
- Option C) 15
This shows how the pattern continues, adding successive natural numbers to the previous total to find the next triangular number.
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What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?a)13b)14c)15d)16Correct answer is option 'C'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?a)13b)14c)15d)16Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?a)13b)14c)15d)16Correct answer is option 'C'. Can you explain this answer?.
What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?a)13b)14c)15d)16Correct answer is option 'C'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?a)13b)14c)15d)16Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?a)13b)14c)15d)16Correct answer is option 'C'. Can you explain this answer?.
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