11 grade maths others
How do you find the sum of the first 1000 even positive integers?
How do you find the sum of the first 1000 even positive integers?
1 Answer
Askiitians Tutor Team
Approved Tutor Answer10 Months agoTo find the sum of the first 1000 even positive integers, you can use a simple formula. The even positive integers can be represented as 2, 4, 6, ..., up to 2000. The formula for the sum of the first n even integers is:
Sum Formula
The sum can be calculated using:
Sum = n × (n + 1)Applying the Formula
In this case, n is 1000 because we want the first 1000 even integers. Plugging in the value:
- n = 1000
- Sum = 1000 × (1000 + 1)
- Sum = 1000 × 1001
Final Calculation
Now, calculate the product:
Sum = 1001000Therefore, the sum of the first 1000 even positive integers is 1,001,000.
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