In an ap the pth term is q
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. WebSep 29, 2024 · Click here 👆 to get an answer to your question ️ the pth term of an AP is q and qth term is p. find its (p+q)th term. hardeechoudhary ... Secondary School answered • expert verified The pth term of an AP is q and qth term is p. find its (p+q)th term. See answers how can i mark beacaise only one solution had came yet bacause* ...
In an ap the pth term is q
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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)
WebJul 20, 2024 · pth term is Step-by-step explanation: Since we have given that (p+q) th term of an AP = m (p-q) th term of an AP = n. So, it becomes, so, it becomes, So, first term would be . So, the value of pth term would be . Hence, pth term is # learn more: If tn denotes the nth term of the series 2+3+6+11+18+.....,then find t50. brainly.in/question/3103109 WebFeb 10, 2024 · In an A.P., if pth term is 1/q and qth term is 1/p, prove that the sum of first pq terms is ½ (pq +1), where p ≠ q. sequences and series class-11 1 Answer +1 vote answered Feb 10, 2024 by sameer (54.7k points) selected Feb 13, 2024 by sanjeev Best answer
WebJul 26, 2024 · Best answer Given: pth term is q and (p + q)th term is 0. To prove: qth term is p. pth term is given by q = a + (p - 1) × d……equation1 (p + q)th term is given by 0 = a + (p + q - 1) × d 0 = a + (p - 1) × d + q × d Using equation1 0 = q + q × d d = - 1 Put in equation1 we get a = q + p - 1 qth term is q + p - 1 + (q - 1) × ( - 1) p Hence proved. WebIf p th term of an A.P. is q and its q th term is p. Show that its r th term is (p+q− r). Hard View solution > If the pth term of an A.P. be q and qth term be p, prove that the (p+q)th term is zero. Easy View solution > View more Get the Free Answr app Click a picture with our app and get instant verified solutions
WebThe pth term of an A.P. is a and qth term is b. Prove that sum of its (p+q) terms is 2p+q[a+b+ p−qa−b]. Medium Solution Verified by Toppr Let the first term be A and common difference D. S p+1= 2p+q[2A+(p+q−1)D] (1) It is given that T p=a and T q=b ∴{A+(p−1)D=aA+(q−1)D=b} Substracting, (p−q)D=a−b ∴D= p−qa−b (2) Adding, …
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) ramsay grad programWebIf 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. dr john balocki crystal lake ilWebIf 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. dr. johanna canarisWebThe p th, q th and r th terms of an A.P are a,b,c respectively. Show that (q−r)a+(r−p)b+(p−q)c=0. Medium Solution Verified by Toppr Let a= First term of the AP and d= Common difference of the AP Now, a=A+(p−1)d....(1) b=A+(q−1)d....(2) c=A+(r−1)d....(3) Subtracting (2) from (1), (3) from (2) and (1) from (3), we get a−b=(p−q)d....(4) dr john bouma grayslakeWebOct 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. ramsay graduate programWebJan 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 dr john baca podiatristWebAug 20, 2024 · In an A.P. the pth term is q and the (p + q)th term is 0. Then the qth term is (A) – p (B) p (C) p + q (D) p – q sequences and series class-11 1 Answer 0 votes answered Aug 20, 2024 by AbhishekAnand (88.0k points) selected Aug 20, 2024 by Vikash Kumar Best answer (B) is the correct answer ramsay graduate nurse program 2023