$If $ S_{1}, S_{2}, S_{3}, \ldots, S_{n} $ are the sums of infinit...$

If $ S_{1}, S_{2}, S_{3}, \ldots, S_{n} $ are the sums of infinit...

If $ S_{1}, S_{2}, S_{3}, \ldots, S_{n} $ are the sums of infinite geometric series, whose first terms are $ 1,2,3, \ldots, n $ and whose common ratios are $ \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \ldots, \frac{1}{n+1} $ respectively, then find the values of $ S_{1}^{2}+S_{2}^{2}+S_{3}^{2}+\ldots+S_{2 n-1}^{2} \quad(1991,4 \mathrm{M}) $ 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live

If \( S_{1}, S_{2}, S_{3}, \ldots, S_{n} \) are the sums of infinit...

If \( S_{1}, S_{2}, S_{3}, \ldots, S_{n} \) are the sums of infinit...

If sum of the infinite G.P. \( p, 1,1 / p, 1 / p^{2}, \ldots \) is \( 9 / 2 \), then value of \(...

If the sum of n, 2n and infinite terms of G.P. are `S_(1),S_(2)` and `S` respectively, then prove

If the common ratio is -4/5 and the sum of infinite terms in a G.P is (80)/9 then find the first...

Prove that: (2^(1/4) . 4^(1/8) . 8^(1/16) . 16^(1/32) ... ∞) = 2.