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What is the sum of the first 10 positive integers?
a. 45
b. 55
c. 65
d. 75?
Most Upvoted Answer
What is the sum of the first 10 positive integers?a. 45b. 55c. 65d. 75...
Understanding the Problem
To find the sum of the first 10 positive integers, we will add the integers from 1 to 10.
List of the First 10 Positive Integers
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
Calculation of the Sum
We can calculate the sum by adding these numbers together:
- 1 + 2 = 3
- 3 + 3 = 6
- 6 + 4 = 10
- 10 + 5 = 15
- 15 + 6 = 21
- 21 + 7 = 28
- 28 + 8 = 36
- 36 + 9 = 45
- 45 + 10 = 55
Final Result
Thus, the sum of the first 10 positive integers is 55.
Conclusion
The answer to the question is option b. 55.
This sum can also be verified using the formula for the sum of the first n positive integers, which is n(n + 1)/2.
For n = 10:
- 10(10 + 1)/2 = 10 * 11 / 2 = 110 / 2 = 55.
This confirms our calculation.
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What is the sum of the first 10 positive integers?a. 45b. 55c. 65d. 75?
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