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 ...
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. ...
View Solution 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...
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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...
View Solution 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 ...
Step by step video & image solution for If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.Updated...
If Sr denotes the sum of r terms of an A.P. and Sa/a^2=Sb/b^2=c. Then Sc= (A) c^3 (B) c/ab (C) abc (D) a+b+c