WebSep 22, 2024 · If x, y, z be respectively the p th, q th and r th terms of a G.P. show that x q - r, y r - p, z p - q = 1. binomial theorem; sequences and series; class-11; Share It On Facebook Twitter Email. 1 Answer +1 vote . answered Sep 22, 2024 by RamanKumar (50.5k points) selected Sep 23 ... WebJul 16, 2024 · In a G.P. if the (m+n)^th term is p and (m - n)^th term is q, then its term is A. 0 B. pq C. √pq D . 1/2 (p+q) ← Prev Question Next Question → 0 votes 1.2k views asked Jul 16, 2024 in Geometric Progressions by kavitaKumari (13.5k points) In a G.P. if the (m+n)th term is p and (m - n)th term is q, then its term is A. 0 B. pq C. √pq
SOLVED:The fourth, seventh and tenth terms of a GP are p, q, r ...
WebDec 5, 2024 · Find an answer to your question If the (m+n)th term of a gp is p and (m-n)th terma is q, show that mth term and nth term are √pq and p(q/p)^m/2n. nabila9876 nabila9876 05.12.2024 Math Secondary School answered • expert verified WebJul 15, 2024 · answered Jul 15, 2024 by kavitaKumari (13.5k points) ⇒ Let the first term be a and the common ratio be r. ∴ According to the question, ap+q = m. ap-q = n. an = arn-1 ap+q = a.rp+q-1 ap-q = a.rp-q-1 ∴ a.rp+q-1 = m. a.rp-q-1 = n. Multiplying above two equations we get a2r(p+q-1+ (p-q-1) = a2r(2p-2) a2r(2p-2) = m.n (ar)2 (p-1) = m.n ∴ arp-1 =√m.n spleen testo francese
Find Pth term of a GP if Mth and Nth terms are given in C
WebIf the pth and qth terms of a GP are q and p respectively, then (p+q)th term is Q. 1,5,25 are the pth , qth and rth terms respectively of a G.P Prove that p,q,r in - Q. If pth, qth, rth and sth terms of A.P. are in G.P. then show that p-q, q-r, r-s are in G.P. Q. If the pth qth and rth terms of G.P. are X, Y, Z, respectively, then xq−ryr−pzp−q= WebIf in a GP the (p+q) th term is a and the (p−q) th term is b, then p th term is A (ab) 1/3 B (ab) 1/2 C (ab) 1/4 D None of these Hard Solution Verified by Toppr Correct option is B) Let the G.P. be x,xy,xy 2,... Then t p+q=xy p+q−1=a ... (1) and t p−q=xy p−q−1=b ... (2) Dividing (1) by (2), y 2q= ba⇒y=(ba)1/2q From (1), x=a(ab)(p+q−1)/(2q) WebRajasthan PET 2005: In a GP, (p+q) th term is m and (p-q) th term is n, then the value of pth term is (A) (m/n) (B) √(m/n) (C) √mn (D) √( (n/m) spleen tests for monp