In an ap the pth term is q
WebMar 29, 2024 · If the pth term of an AP is 1/q and the qth term is 1/p show that the sum of the pm term is 1/2 (pq+1) - 3131802. sami271 ... Secondary School answered • expert verified if the pth term of an AP is 1/q and the qth term is 1/p show that the sum of the pm term is 1/2 (pq+1) See answers Advertisement Advertisement nitthesh7 nitthesh7 Given … WebIf the pth, qth, rth terms of an AP be x, y, z respectively, show that x(q – r) + y(r – p) + z(p – q). Q13. If the pth term of an AP is 1/q and the qth term is 1/p, show that the sum of pq terms is ½(pq + 1). LONG ANSWER TYPE QUESTIONS Q14. In an AP of 50 terms, the sum of first 10 terms is 210 and sum of its last 15 terms is 2565.
In an ap the pth term is q
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WebMar 16, 2024 · If the pth term of an AP is q and the qth term is p, prove that its nth term is (p + q – n). cbse class-10 1 Answer 0 votes answered Mar 16, 2024 by santoshjha (143k points) selected Mar 27, 2024 by Vikash Kumar Best answer The correct answer is ← Prev Question Next Question → Find MCQs & Mock Test JEE Main 2024 Test Series NEET Test … 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 ...
WebIf the pth, qth and rth terms of an A.P. be a, b and c respectively, then prove that a(q−r)+b(r−p)+c(p−q)=0. Medium Solution Verified by Toppr Let A be the first term and D the common difference of A.P. T p=a=A+(p−1)D=(A−D)+pD (1) T q=b=A+(q−1)D=(A−D)+qD ..(2) T r=c=A+(r−1)D=(A−D)+rD ..(3) WebJul 12, 2024 · The pth term of an AP is 1/q and the qth term is 1/p. Show that the sum of its pq terms is 1/2(pq+1). Arithmetic Progression class 10. #arithmeticprogression......
WebMar 29, 2024 · Show that (q r) a+ (r p)b+ (p q) c = 0 Here we have small a in the equation, so we use capital A for first term We know that, An = A + (n 1) D where An is the nth term of A.P. n is the number of terms A is the first term, D is the common difference It is given that pth term of an AP is a i.e. Ap = a Putting n = p A + (p 1) D = a a = A + (p 1)D … WebApr 21, 2024 · As we know that, the nth term of an AP is given by: T n = a + (n - 1) × d, where a = first term and d = common difference. Let a be the first term and d is the common difference. \(\Rightarrow \;{a_{p + q}} = a + \left( {p + q - 1} \right) \times d\) ...1) \(\Rightarrow \;{a_{p - q}} = a + \left( {p - q - 1} \right) \times d\) ...2)
WebIf in an A.P., the pth term is q and (p + q)th term is zero, then the qth term is (a) - p (b) p (c) p + q (d) p - q Q. If in an A.P., the pth term is q and (p + q)th term is zero, then the qth term is Q. The pth term of an A.P. is a and qth term is b. Prove that sum of its (p+q) terms is p+q 2 [a+b+ a−b p−q]. Q.
WebMay 1, 2024 · If in A.P., pth term is q and qth term is p, then find (p + q)th term. sequence progression and series class-11 1 Answer +2 votes answered May 1, 2024 by PritiKumari (49.3k points) selected May 2, 2024 by Ruksar03 Best answer Let first term of A.P. = a and common difference = d Then pth term = Tp = a + (p – 1)d = q ⇒ a + (p – 1)d = q … (i) first step careers hot springs arWebJan 14, 2024 · Best answer Solution: Given pth term = 1/q That is ap = a + (p - 1)d = 1/q aq + (pq - q)d = 1 --- (1) Similarly, we get ap + (pq - p)d = 1 --- (2) From (1) and (2), we get aq + (pq - q)d = ap + (pq - p)d aq - ap = d [pq - p - pq + q] a (q - p) = d (q - p) Therefore, a = d Equation (1) becomes, dq + pqd - dq = 1 d = 1/pq Hence a = 1/pq first step baby walkerWebIf the Pth Term of an Ap is Q and Its Qth Term is P Then Show that Its (P + Q)Th Term is Zero . CBSE English Medium Class 10. Question Papers 939. Textbook Solutions 33590. MCQ Online Mock Tests 12. Important Solutions 4010. Question Bank Solutions 26519. Concept Notes & Videos 213. campbelltown rsl pokercampbell town private hospitalWebIf the p t h term of an AP is q and the q t h term is p, prove that its n t h term is ( p + q - n). Solution Step 1: Calculate the common difference. Given: p t h term = q and q t h term = p An AP or arithmetic progression is a sequence of numbers with a common difference between two consecutive numbers. campbelltown rsl nswWebIf the pth term of an A.P be q and qth term be p, then its rth term will be Byju's Answer Standard XIII Mathematics If the pth te... Question If the p t h term of an A.P be q and q t h term be p, then its r t h term will be p + q + r p + q - r p + r - q p - q - r Solution The correct option is B p + q - r Explanation of the correct option. first step bhp floridaWebOct 19, 2024 · Class 10 Maths MCQs Chapter 5 Arithmetic Progressions 1. The n th term of an A.P. is given by a n = 3 + 4n. The common difference is (a) 7 (b) 3 (c) 4 (d) 1 Answer/Explanation 2. If p, q, r and s are in A.P. then r – q is (a) s – p (b) s – q (c) s – r (d) none of these Answer/Explanation 3. campbelltown public hospital day surgery