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What is the sum of the first 10 positive integers?
What is the sum of the first 10 positive integers?
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What is the sum of the first 10 positive integers?
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55
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The sum is 10(10 + 1)/2 = 55.
Questions & Step-by-step Solutions
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Q
Q: What is the sum of the first 10 positive integers?
Solution:
The sum is 10(10 + 1)/2 = 55.
Steps: 7
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Step 1: Identify the first 10 positive integers. They are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
Step 2: Use the formula for the sum of the first n positive integers, which is n(n + 1)/2.
Step 3: In this case, n is 10. So, plug 10 into the formula: 10(10 + 1)/2.
Step 4: Calculate 10 + 1, which equals 11.
Step 5: Now multiply 10 by 11, which equals 110.
Step 6: Finally, divide 110 by 2, which equals 55.
Step 7: Therefore, the sum of the first 10 positive integers is 55.
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