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What is the sum of the first 10 natural numbers?
What is the sum of the first 10 natural numbers?
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What is the sum of the first 10 natural numbers?
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The sum of the first n natural numbers is given by the formula n(n + 1)/2. For n = 10, the sum is 10(10 + 1)/2 = 10 * 11 / 2 = 55.
Questions & Step-by-step Solutions
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Q
Q: What is the sum of the first 10 natural numbers?
Solution:
The sum of the first n natural numbers is given by the formula n(n + 1)/2. For n = 10, the sum is 10(10 + 1)/2 = 10 * 11 / 2 = 55.
Steps: 8
Show Steps
Step 1: Understand that natural numbers start from 1 and go up (1, 2, 3, ...).
Step 2: Identify the first 10 natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Step 3: Use the formula for the sum of the first n natural numbers, which is n(n + 1)/2.
Step 4: Substitute n with 10 in the formula: 10(10 + 1)/2.
Step 5: Calculate 10 + 1, which equals 11.
Step 6: Multiply 10 by 11: 10 * 11 = 110.
Step 7: Divide 110 by 2: 110 / 2 = 55.
Step 8: Conclude that the sum of the first 10 natural numbers is 55.
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