WebThe sum of infinite terms of a GP series S ∞ = a/ (1-r) where 0< r<1. If a is the first term, r is the common ratio of a finite G.P. consisting of m terms, then the nth term from the end will be = ar m-n. The nth term from the … WebThe (m + n)th and the (m - n)th terms of a GP are p and q respectively. Show that the mth and the nth terms of the GP are √pq and (q p)(m 2n) Solution Let a be the first term and r …
Recursive Formula - Rule of Arithmetic and Geometric Sequence
WebIn a G.P. if the ( m + n) th term is p and ( m − n) th term is q, then its mth term is Options (a) 0 (b) pq (c) p q (d) 1 2 ( p + q) Advertisement Remove all ads Solution (c) p q Here Here , a … WebTo find the n th term of a GP, we require the first term and the common ratio. If the common ratio is not known, the common ratio is calculated by finding the ratio of any term to its … simpson county tax assessor
The p + q term of a GP is m and its p q term is n show …
WebApr 9, 2024 · This refers to a series of numbers where the terms to succeed are given by the product of the preceding terms with a constant value called common ratio. Complete step-by-step answer: Given GP: 3 -6 12 -24…. First term (a) = 3. Common ratio (r) = − 6 3 = − 2. n t h term ( a n ) = -384. Substituting these values in the formula of n t h term ... WebIf (m+n) th term of a G.P. is 9 and (m−n) th term is 4, then m th term will be A 6 B 61 C 6.5 D None of these Easy Solution Verified by Toppr Correct option is A) As we know each term is G.P. is geometric mean of the terms equidistant from it. Here (m+n) m and (mn) m terms are equidistant So therefore m m term will be G.M. of (m+n) m and WebMar 30, 2024 · Ex 9.3, 23 If the first and the nth term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P2 = (ab)n. Let a be the first term of G.P & r be the common ratio of G.P Given, first term of G.P = a We know that nth term of G.P = … razer keyboard blue switches