Answer:
1225
Explanation
The sum of positive integers less than 50 can be found using the formula for the sum of an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed value (called the common difference) to the previous term.
In this case, the first term is 1, the common difference is 1, and we want to find the sum of the first 49 terms (since we are looking for the sum of positive integers less than 50).
The formula for the sum of an arithmetic sequence is:
S = n/2 * (a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
We can find the last term by subtracting the common difference (1) from 50, since we want the last term to be less than 50. So:
l = 50 - 1 = 49
Using these values, we can plug into the formula:
S = 49/2 * (1 + 49)
= 24.5 * 50
= 1225
Therefore, the sum of positive integers less than 50 is 1+2+3+...+48+49 = 1225.