Three numbers are in an increasing geometric progression with common ratio \(r\). If the m.... VIDEO
Three numbers are in an increasing geometric progression with common ratio \(r\). If the middle number is doubled, then the new numbers are in arithmetic progression with common difference \(d\). If the fourth term of GP is \(3r^{2}\) then \(r^{2} - d\) is equal to? 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-07-17 The sum of first four terms of a geometric progression (G.P) is \(\frac{65}{12}\) and the sum of.... 2024-07-17 The sum of the first 20 terms of the series \(5+11+19+29\) \(+41+\ldots\) is.... 2024-07-17 The sum of the common terms of the following three arithmetic progressions.\(3,7,11,15, \ldots \.... 2024-07-17 Let \(A =\sum_{i=1}^{10} \sum_{j=1}^{10} \min \{i, j\}\) and \(B=\sum_{i=1}^{10} \sum_{j=1}^{10}.... 2024-07-17 Let \(a, b\) and \(c\) in G.P. with common ratio \(r\), where \(a \neq 0\) and \(0<r \leq \fr.... 2024-07-17 If \(S = \frac{7}{5} + \frac{9}{5^{2}} + \frac{13}{5^{3}} + \frac{19}{5^{4}} + .....\) , then \(.... 2024-07-17 The \(8^{\text {th }}\) common term of the series\[\begin{aligned}& S_1=3+7+11+15+19+\ldots .... 2024-07-17 Let \(A_1, A_2, A_3\) be the three A.P. with the same common difference \(d\) and having their f.... 2024-07-17 Let \(a_1, a_2, \ldots \ldots, a_n\) be in A.P. If \(a_5=2 a_7\) and \(a_{11}=18\), then \(12\le.... 2024-07-17 Let \(\frac{1}{16}, a\) and \(b\) be in G.P. and \(\frac{1}{a}, \frac{1}{b}, 6\) be in A.P., whe.... 2024-07-17 Three numbers are in an increasing geometric progression with common ratio \(r\). If the m.... 2024-07-17 The sum \(1^2-2.3^2+3.5^2-4.7^2+5.9^2-\ldots \ldots \ldots+15.29^2\) is ______. .... 2024-07-17 The sum to 10 terms of the series \(\frac{1}{1+1^2+1^4}+\frac{2}{1+2^2+2^4}+\frac{3}{1+3^2+3^4}+.... 2024-07-17 The parabolas : \(a x^2+2 b x+c y=0\) and \(d x^2+2 e x+f y=0\) intersect on the line \(y=1\). I.... 2024-07-17 The sum of 10 terms of the series
\(\frac{3}{1^{2} \times 2^{2}} + \frac{5}{2^{2} \times 3^{2}} .... 2024-07-17 For the two positive numbers \(a, b\), if \(a, b\) and \(\frac{1}{18}\) are in a geometric progr.... 2024-07-17 The \(4^{\text {th }}\) term of GP is 500 and its common ratio is \(\frac{1}{m}, m \in N\). Let .... 2024-07-17 If \(0<x<1\), then \(\frac{3}{2} x^2+\frac{5}{3} x^3+\frac{7}{4} x^4+\ldots\), is equal to.... 2024-07-17 If the sum of an infinite GP \(a, a r, a r^2, a r^3, \ldots . .\). is 15 and the sum of the squa.... 2024-07-17 If \(\mathrm{m}\) arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between .... 2024-07-17 The value of (0.16)log2.513+132+133+… to ∞ is equal to....