In a gp if the p+q th term is m
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) WebIn G.P. (p+q) th term is m, (p−q) th term is n, then p th term is A nm B nm C nm D nm Medium Solution Verified by Toppr Correct option is B) Let the first term of G.P be 'a' and common ratio be 'r' given T p+q=ar p+q−1=m T p−q=ar p−q−1=n then multiplying the …
In a gp if the p+q th term is m
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WebStep 1: Information required for the solution. Let a be the first term of GP with a common ratio r. Then the last term of the GP will be a r n - 1. The p + q th term will be, a r ( p + q - 1) … 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 – …
WebMar 30, 2024 · Transcript. 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 – 1)d i.e. an = a + (n – 1)d It is given that ap, aq, ar & as in GP i.e. their common ratio is same So,𝑎_𝑞/𝑎_𝑝 = (ar )/qq = 𝑎𝑠/𝑎𝑟 We need to show (p – q), (q – r), (r – s) are in ... WebHere are the GP formulas for a geometric progression with the first term 'a' and the common ratio 'r': n th term, a n = ar n-1. Sum of the first 'n' terms, S n = a(1-r n)/(1-r) when r ≠ 1. …
WebIf a, b, c are respectively the pth, qth and rth terms of a GP, show that (q − r) log a + (r − p) log b + (p − q) log c = 0. Solution : t n = AR n-1. p th term : t p = AR p-1 = a. q th term : t q ... WebThe formula for the nth term of a geometric progression whose first term is a and common ratio is r is: a n =ar n-1. The sum of n terms in GP whose first term is a and the common ratio is r can be calculated using the formula: S n = [a (1-r n )] / (1-r). The sum of infinite GP formula is given as: S n = a/ (1-r) where r <1. ☛ Related Topics:
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 …
WebMar 16, 2024 · In this problem we are given five values m, n, mth term, nth term, p. Our task is to Find Pth term of a GP if Mth and Nth terms are given. For a GP, we are given the values of mth term and nth term. Using these values, we need to find the Pth term of the series. Let’s take an example to understand the problem, Input china one buffet dodgevillegraitedWebJul 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 china one buffet king bowling green kyWebIf (P + Q)Th and (P − Q)Th Terms of a G.P. Are M and N Respectively, Then Write is Pth Term. - Mathematics Shaalaa.com. Department of Pre-University Education, Karnataka … china one buffet gallipolis ohioWebIf the arithmetic mean and geometric mean of the p th and q th terms of the sequence -16,8,-4,2..... satisfy the equation , then p+q is equal to _____ Option: 1 8 Option: 2 10 Option: 3 12 Option: 5 14 graitec training revitWebJul 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 question. 1 Answer 0 votes answered Jul 30, 2024 by kavitaKumari (13.5k points) Let, tp + q = m = Arp + q - 1 = Arp - 1 r q And tp - q = n = Arp - q - 1 = Arp - 1 r - q graith beltWebRajasthan 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) graith care reviews