WebThe mth term of a Geometrical Progression is n and nth term is m. Find (m+n)th term. I've tried this: T m = ar m-1 = n (Eq 1) T n = ar n-1 = m (Eq 2) Subracting 2 from 1. r m - r - r n + r = n-m. r m - r n = n-m. r m + m = r n + n. I don't know how to proceed. I don't even know if I have done this correctly until this point. 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:
In a GP, (p+q) th term is m and (p-q) th term is n, then the value of ...
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 the (p + q)th and (p – q)th terms of a GP are m and n respectively, find its pth term. CBSE Class 11 Excercise 12H Geometrical Progression Maths RS Aggarwal Answer : Let, great grandfather of noah crossword
If the arithmetic mean and geometric mean of the pth and qth terms …
WebMar 26, 2024 · If p times the pth term of an A.P. is q times the qth term, then what is (p + q)th term equal to? asked Nov 13, 2024 in Arithmetic Progression by Taanaya (23.8k points) sequences and series; class-10; 0 votes. 1 answer. If a, b and c be respectively the pth, qth and rth terms of an A.P., prove that a (q – r) + b (r – p) + c (p – q) = 0. 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 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 great grandfather of david