For all the problems in this set the domain is the set of positive integers.
Evaluate the partial sum of the given number of terms of the arithmetic sequence.
-Evaluate the sum of the first 50 integers greater than zero.
A) 1275
B) 1300
C) 1375
D) 1250
E) None of these

Question

Quizplus · Accepted Answer

The sum of the first 50 positive integers can be calculated using the formula for the sum of an arithmetic series, $S_n = \frac{n}{2}(a_1 + a_n)$, where $n$ is the number of terms, $a_1$ is the first term, and $a_n$ is the last term. Here, $n = 50$, $a_1 = 1$, and $a_n = 50$, so $S_n = \frac{50}{2}(1 + 50) = 25 \times 51 = 1275$.

For All the Problems in This Set the Domain Is