In an ap the pth term is q
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) WebThe 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)
In an ap the pth term is q
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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* ... 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.
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 … 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. $$ \Rightarrow a(q - r) + b(r - p) + c(p - q)$$
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 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
WebApr 7, 2024 · Complete step-by-step answer: We know the general mth term for an AP is t m = a + (m − 1)d. Here, a is the first term of the AP and d is its common difference. Now, it is …
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 ... notebook computer vs tablet computerWebIf 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. notebook computersWebResult. 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. how to set main screen on dual monitorsWebJan 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 → notebook computer touchscreen macWebApr 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 … how to set main screen windows 11WebApr 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. . notebook computer with a built in printerWebOct 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 how to set main search engine