Answer:
11325
Explanation:
![\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=(1)/(2)n[a+l]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $l$ is the last term.\\\phantom{ww}$\bullet$ $n$ is the number of terms.\\\end{minipage}}](https://img.qammunity.org/2023/formulas/mathematics/college/7iyvhg8eybcil6jgzfb3tm5twawy3hzgcm.png)
A positive integer is a whole number that is greater than zero.
Therefore:
- The first term, a, of the first 150 positive integers is 1.
- The last term, l, of the first 150 positive integers is 150.
- The number of terms, n, is 150.
Substitute the values into the formula to find the sum of the first 150 positive integers:
![\implies S_(150)=(1)/(2)(150)\left[1+150\right]](https://img.qammunity.org/2023/formulas/mathematics/college/v1borf65scaus0mylhbr7ktamy253z3bl7.png)

