In a gp if the p+q th term is m
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 … 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 ...
In a gp if the p+q th term is m
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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 WebThe pth, qth and rth term of an A.P as well as those of G.P are a, b, c respectively then prove that (ab−c)( bc−a)( ca−b)=1 Q. The pth , qth and rth terms of an A.P. are a, b, c respectively. Show that Q. If pth, qth and rth terms of an A.P. are a, b, c respectively, then show that: a(q–r)+b(r–p)+c(p–q)=0 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, 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
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. … 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:
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 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
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 … the price is right cliffhangers iron $24WebJul 15, 2024 · a p+q = m. a p-q = n. a n = ar n-1 . a p+q = a.r p+q-1 . a p-q = a.r p-q-1 . ∴ a.r p+q-1 = m. a.r p-q-1 = n. Multiplying above two equations we get . a 2 r (p+q-1+(p-q-1) = a … the price is right cliffhangers galleryWebRajasthan 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) sight jackingWebJul 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 … sightjack medicalWebMar 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. the price is right clock game miracleWebIf 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 the price is right cliffhangers 2012WebApr 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: the price is right clock game gallery