WebSolution: Let R be the common ratio of this GP and a be the first term. pth term is aRp−1, qth term is aRq−1 and rth term is aRr−1. Since p, q and r are in G.P. then (aRq−1)2 = aRp−1.aRr−1 ⇒ a2R2q−2 = a2Rp+r−2 ⇒ R2q−2 = Rp+r−2 ⇒ 2q− 2 = p+ r−2 ⇒ 2q = p+r ⇒ p,q,r are in A.P. Questions from Sequences and Series 1. The sum of the infinite series WebIf a, b, c, be respectively the pth, qth and rth terms of a G.P., prove that `a^(q-r).b^(r-p).c^(p-q) = 1`

If the p^th , q^th and r^th terms of a G.P. are a, b and c …

WebIf pth, qth and rth terms of a G.P. are x, y, z respectively, find the value of xq – r .yr – p .zp – q. 0 Maharashtra State Board HSC Commerce (English Medium) 11th WebIf pth, qth and rth terms of an A.P. are in G.P., then the common ratio of this G.P. is A p−q q−r B q−r p−q C pqr D none of these Solution The correct option is B q−r p−q (b) q−r p−q Let a be the first term and d be the common difference of the given A.P. Then, we have : pth term, ap = a+(p−1)d qth term, aq =a+(q−1)d rth term, ar =a+(r−1)d rogers high school puyallup schedule

If pth , qth and rth terms of an A.P. are a, b, c respectively, then ...

Web20 aug. 2024 · If pth, qth and rth terms of a G.P. are x, y, z respectively. Find the value of x^q - r . y^r - p . z^p - q. asked Feb 3, 2024 in Algebra by AnantShaw (45.9k points) sequences and series; class-11; 0 votes. 1 answer. WebIf l,m,n are the pth, qth, rth terms respectively of a G.P.`(l,m,ngt0) then (logl, p, 1),(logm,1,1),(logn,r,1) `= (A) `pqr `(B)` l+m+n `(C) 0 (D) none of these Web30 mrt. 2024 · Example 21 If pth, qth, rth and sth terms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P. We know that the nth term of AP is a + (n – … rogers high school puyallup pool