If \( S_{1}, S_{2}, S_{3}, \ldots, S_{n} \) are the sums of infinite geometric series whose firs...

If \( S_{1}, S_{2}, S_{3}, \ldots, S_{n} \) are the sums of infinite geometric series whose firs...

If \( S_{1}, S_{2}, S_{3}, \ldots, S_{n} \) are the sums of infinite geometric series whose first terms are 1, 2, 3, ...., \( n \) and common ratios are \( \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \ldots, \frac{1}{n+1} \), then \( S_{1}+S_{2}+S_{3}+\ldots .+S_{n}= \) (A) \( \frac{n(n+1)}{2} \) (B) \( \frac{(n+1)(n+3)}{2} \) (C) \( \frac{n(n+2)}{2} \) (D) \( \frac{n(n+3)}{2} \) 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live