What is the Sum of the First 20 Natural Numbers? Simplified Explanation
Learn how to find the sum of the first 20 natural numbers using the arithmetic series formula with clear, step-by-step guidance.
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The sum of the first 20 natural numbers is 210. This can be found using the formula for the sum of an arithmetic series, S = n/2(a + l), where n is the number of terms, a is the first term, and l is the last term. Here, n = 20, a = 1, and l = 20, giving us S = 20/2(1 + 20) = 210.
FAQs & Answers
- How do you calculate the sum of the first n natural numbers? The sum of the first n natural numbers can be calculated using the formula S = n/2 (a + l), where n is the number of terms, a is the first term, and l is the last term.
- What is the sum of the first 100 natural numbers? Using the formula S = n/2 (a + l), the sum of the first 100 natural numbers is 100/2 (1 + 100) = 50 x 101 = 5050.
- What is the arithmetic series formula? The arithmetic series formula is S = n/2 (a + l), which calculates the sum of n terms of an arithmetic sequence where a is the first term and l is the last term.