WebSep 7, 2024 · The nth term of a GP is given by tn = arn-1 where a is the first term and r is the common ratio The pth term (tp) of both AP and GP is a For AP ⇒ tp = m + (p – 1)d ⇒ a = m + (p – 1)d … (u) For GP ⇒ tp = lsp-1 ⇒ a = lsp-1 … (v) The qth term (tq) of both AP and GP is b For AP ⇒ tq = m + (q – 1)d ⇒ b = m + (q – 1)d … (w) For GP ⇒ tq = lsq-1 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)
Find Pth term of a GP if Mth and Nth terms are given in C
WebApr 13, 2024 · The terms of a G.P. are all positive and each term of it is equal to the sum of the next two following terms. Find its common ratio. 1 5 5 + 1 2 1 1 + 5 5 − 1 2 Not Attempted Answer (Detailed Solution Below) Option 4 : 5 − 1 2 Sequences and Series Question 2 Detailed Solution Concept Used: WebIf the (p + q)th and (p – q)th terms of a GP are m and n respectively, find its pth term. Answer : Let, tp + q = m = Arp + q – 1 = Arp – 1rq. And. tp – q = n = Arp – q – 1 = Arp – 1r – q. We know that pth term = Arp – 1. ∴ m × n = A2r2p – 2. ⇒ Arp – … high neck color block swimsuit
If the (p + q)th and (p – q)th terms of a GP are m and n ... - Sarthaks
WebJul 30, 2024 · If the (p + q)th and (p – q)th terms of a GP are m and n respectively, find its pth term. geometric progressions class-11 Please log in or register to answer this … WebMar 30, 2024 · Prove that aq r br p cp q = 1 We know that nth term of G.P = ARn 1 (We are using a, r in the question, so we use A for first term and R for common ratio) It is given that pth term of G.P = a Ap = a ARp 1 = a a = ARp 1 aq r = ("ARp 1")q r We need to show that aq r br p cp q = 1 Also, qth term of G.P = b Aq = b ARq 1 = b b = ARq 1 br p = (ARq 1)r p … 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 ... how many 60 watt bulbs on a 15 amp breaker