If the pth, qth and rth terms of a G.P. be respectively , a,b and c then the value of a^(q-r).b^(r-p).c^(p-q) is :
If pth, qth and rth terms of a HP be respectivelya,bandc, has prove that(q−r)bc+(r−p)ca+(p−q)ab=0. View Solution If pth, qth, and rth terms of an A.P. area,b,c,respectively, then show that(a−b)r+(b−c)p+(c−a)q=0 ...
The pth, (2p)th and (4p)th terms of an AP, are in GP, then find the common ratio of GP. View Solution Knowledge Check Question 1 - Select One If the pth,qth and rth terms of a GP. Are again in G.P., then which one of the following is correct? Ap,q ,r are in A.P...
If pth, qth, rth terms of an A.P. are in G.P. then common ratio of ths G.P. is (A)q−rp−q(B)q−sp−r(C)r−sq−r(D)qp View Solution Ifmthnthandothterm of an A.P. are n, o and m. Find common difference d. ...
Ifpth,qth,rthandsthterms of an A.P. are in G.P. then show that(p−q),(q−r),(r−s)are also in G.P. View Solution View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class ...
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<p>To solve the problem, we need to show that if the Pth, Qth, Rth, and Sth terms of an arithmetic progression (AP) are in geometric progression (GP), then the differences (p - q), (q - r), and (r - s) are also in GP.</p><p>1. <strong>Define the AP Terms
If pth,qth,rth terms an A.P are 1a,1band1c respectively prove that Δ=∣∣∣ ∣∣bccaabpqr111∣∣∣ ∣∣=0 Video Solution Text SolutionGenerated By DoubtnutGPT To prove that the determinant Δ=∣∣∣∣bccaabpqr111∣∣∣∣=0, given that the pth,qth,rth terms of an A.P. are...
c. H.P. d. none of these View Solution If the pth,qthand rthterms of a GP are a, b and c, respectively. Prove that aq−rbr−pcp−q=1. View Solution Find the 10thand nthterms of the G.P. 5, 25, 125, . . . View Solution If the pth ,qth and rth terms of a GP ...
If a,b,and c are positive and are the pth, qth and rth terms respectively of a GP. Show without expanding that ∣∣ ∣ ∣∣logap1logbq1logcr1∣∣ ∣ ∣∣=0 View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...