In an ap the pth term is q

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August undefined, 2024

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. WebApr 8, 2024 · The qth term is ${T_q} = b = A + (q - 1)D = (A - D) + qD\;\; \to (2)$ The rth term is${T_r} = c = A + (r - 1)D = (A - D) + rD\;\; \to (3)$ Here we have got two unknowns A and D which are to be eliminated. We multiply (1), (2) and (3) by q – r, r – p and p – q respectively and add them together. $$ \Rightarrow a(q - r) + b(r - p) + c(p - q)$$

[Answered] if the pth term of an AP is 1/q and the qth term is 1/p …

WebIf the sum of p terms of an A. P. is q and the sum of q terms is p, then the sum of p + q terms is . Class 11 >> Applied Mathematics >> Sequences and series >> Arithmetic progression >> If the sum of p terms of an A. P. is q a Question If the sum of p terms of an A. P. is q and the sum of q terms is p, then the sum of p + q terms is ______. A 0 B WebJun 24, 2009 · If p times the pth term and q times the qth term of an A.P are equal, then prove thatits (p+q)th term is zero. Soln. Let a and d be respetively the first term and the … flippy racer

If the p^th term of an AP is q and the q^th term is p, prove …

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. WebJan 3, 2024 · In an AP, the pth term is q and ( p +q) term is 0. Then, prove that its qth term is p. WebIf 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. flippy sequin pillow

If the pth Term of an AP is q and qth Term is p. Prove that its nth ...

WebJan 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 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 flippy screenWebIf 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) flippy robot white castle

"WebOct 29, 2024 · pth term of an AP = q qth term = p Prove: nth term of A.P. is (p+q-n). Proof: We know that, nth term of an AP (an) = a + (n - 1)d Hence, a + (p - 1)d = q a + pd - d = q a = q - pd + d -- equation (1) Similarly, a + (q - 1)d = p Substitute the value of a from equation (1). q - pd + d + qd - d = p qd - pd = p - q - d(p - q) = p - q - d = 1 " - In an ap the pth term is q

In an ap the pth term is q

Example 21 - If pth, qth, rth sth terms of AP are in GP - teachoo

WebJan 3, 2024 · In an AP, the pth term is q and ( p +q) term is 0. Then, prove that its qth term is p. AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow … WebResult. The results showed that HFD group had a higher body weight than LFD group after 8, 14, and 16 weeks of feeding. Furthermore, at the final observation, there were statistically significant differences between LFD group and HFD group in terms of total cholesterol (TC), triglycerides (TG), low-density lipoprotein (LDL), and high-density lipoprotein (HDL) levels.

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WebIf the pth term of an AP is q and the qth term is p, prove that its nth term is (p+q-n). Easy Solution Verified by Toppr pth term = q a+(p−1)d=q qth term = p a+(q−1)d=p Solving these … WebMar 29, 2024 · Misc 15 The pth, qth and rth terms of an A.P. are a, b, c respectively. Show that (q – r) a+(r – p)b+ (p – q) c = 0 Here we have small ‘a’ in the equation, so we use …

WebApr 2, 2024 · View solution. Question Text. BELAKU - Question Bank 2) If the pth term of an AP be q and its qth term be p, then show that the sum of it (p+q)th terms is 21. . WebJan 16, 2024 · selected Jan 17, 2024 by KumariJuly Best answer Correct option (B) 1 Let a be the first term and d be the common difference of the corresponding AP. Then pth term of AP (Tp) = a + (p - 1)d = 1/q ... (1) qth term of AP (Tq) = a + (q - 1)d = 1/p From Eqs. (1) and (2), So, pqth term is 1. ← Prev Question Next Question →

WebIf 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. WebIf 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 …

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 · Ex 9.2,5 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 1/2 (pq + 1) where p ≠ q. We know that an = a + (n – 1)d Where an is … flippy ships in a nutshellWebMay 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) greate wall super buffet iconsWebApr 21, 2024 · If pth, qth and rth terms of an A.P are a, b and c respectively, then:- Q10. If a, b, c be in A.P, then ( a − c) 2 ( b 2 − a c) is More Sequences and Series Questions Q1. If n harmonic means are inserted between 1 and r, then 1 s t m e a n n t h m e a n = Q2. The arithmetic mean of 1, 2, 3, 4, …. n numbers will be : Q3. great exam answersWebApr 8, 2024 · The pth term is T p = a = A + ( p − 1) D = ( A − D) + p D → ( 1) The qth term is T q = b = A + ( q − 1) D = ( A − D) + q D → ( 2) The rth term is T r = c = A + ( r − 1) D = ( A − D) … flippy sequin shirt girl 9 yearWebMar 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 … flippy scream roblox idWebJul 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. flippy shirtWebIn an A.P, if the pth term is 1/q and qth term is 1/p, prove that the sum of first pq terms is 1/2 (pq + 1), where p ≠ q.We have proven that the sum pq terms in the series are 1/2 (pq + 1). … flippy shirt roblox