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Figure out the value of the 20th Triangular Number
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Figure out the value of the 20th Triangular Number
Calculating the 20th Triangular Number
A triangular number is the sum of consecutive integers starting from 1. The formula for the nth triangular number is:
Tn = 1 + 2 + 3 + ... + n
Finding the 20th Triangular Number
To find the 20th triangular number, we simply plug in n = 20 into the formula:
T20 = 1 + 2 + 3 + ... + 20
We can use the formula for the sum of an arithmetic sequence to simplify the calculation:
Sn = n/2 * (a1 + an)
where Sn is the sum of the first n terms, a1 is the first term, and an is the nth term.
For our triangular number, we have:
T20 = S20 = 20/2 * (1 + 20) = 10 * 21 = 210
Conclusion
Therefore, the 20th triangular number is 210.
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Figure out the value of the 20th Triangular Number
20th triangular number are
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Figure out the value of the 20th Triangular Number
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Figure out the value of the 20th Triangular Number for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Figure out the value of the 20th Triangular Number covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Figure out the value of the 20th Triangular Number .
Figure out the value of the 20th Triangular Number for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Figure out the value of the 20th Triangular Number covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Figure out the value of the 20th Triangular Number .
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