Webpth term, ap = a+(p−1)d qth term, aq =a+(q−1)d rth term, ar =a+(r−1)d Now, according to the question the pth, the qth and the rth terms are in G.P. ∴ (a+(q−1)d)2 =(a+(p−1)d)×(a+(r−1)d) ⇒ a2+2a(q−1)d+((q−1)d)2 = a2+ad(r−1+p−1)+(p−1)(r−1)d2 ⇒ ad(2q−r−p+2)+d2(q2−2q+1−pr+p+r−1)= 0 ⇒ a(2q−r−p)+d(q2−2q−pr+p+r) = 0 ( ∵ d … Web8 apr. 2024 · Note: We wrote pth, qth and rth terms of A.P. using nth term formula. Then we did algebraic calculation to prove the given condition. Recently Updated Pages. Calculate the entropy change involved in the conversion class 11 chemistry JEE_Main.

If x, y, z be respectively the pth, qth and rth terms of a G.P.

WebIf the pth, qth and rth terms of an A.P. be a, b and c respectively, then prove that a(q−r)+b(r−p)+c(p−q)=0. Medium Solution Verified by Toppr Let A be the first term and D … WebIf the pth,qth and rth terms of a G.P. are a,b and c, respectively. Prove that aq−r br−p cp−q=1. Q. If the pth,qth and rth term of a G.P. are a,b,c respectively , then aq−r ⋅br−p⋅cp−q is equal to Q. If pth, qth , rth terms of a gp … sparrows in georgia

If pth, qth and rth terms of a G.P. are x, y, z respectively, find the ...

Web10 apr. 2024 · If the \\[{{p}^{th}}\\] , \\[{{q}^{th}}\\] and \\[{{r}^{th}}\\] term of a GP are \\[a,b,c\\] respectively, then \\[{{a}^{q-r}}\\cdot {{b}^{r-p}}\\cdot {{c}^{p-q ... WebIf pth, qth, rth terms of an A.P. are in G.P. then common ratio of ths G.P. is (A) `(q-r)/(p-q)` (B) `(q-s)/(p-r)` (C) `(r-s)/(q-r)` (D) `q/p` tech master yt