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In an ap the pth term is q

WebMar 30, 2024 · We know that Sn = n/2 ( 2a + (n 1)d ) Where, Sn = sum of n terms of A.P. n = number of terms a = first term and d = common difference Now, Sum of first p terms = Sp = p/2 [2a + (p 1)d] Sum of first q terms = Sq = q/2 [2a + (q 1)d] It is given that Sum of first p terms = Sum of first q terms p/2 [2a + (p 1)d] = q/2 [2a + (q 1)d] p [2a + (p 1)d] = … 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.

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

WebMar 30, 2024 · We know that an = a + (n 1)d Where an is nth term of AP, n is the number of terms, a be the first term & d be the common difference of the A.P. It is given that pth term is 1/ i.e. ap = 1/q a + (p 1)d = 1/q Also, qth term of A.P = 1/p i.e. aq = 1/p i.e. a + (q 1)d = 1/p Now subtracting (1) from (2) i.e. (1) (2) [a + (p 1)d] [a + (q 1)d] = 1/ 1 ... 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. portland me carnival https://consultingdesign.org

The pth term of an AP is 1/q and the qth term is 1/p. Show that the …

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 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 ... WebIn an A.P, if the p th term is 1/q and q th term is 1/p, prove that the sum of first pq terms is 1/2 (pq + 1), where p ≠ q. Solution: It is known that general term of an A.P is a n = a + (n - 1) d p th term = a n = a + (n - 1) d = 1/q .... (1) q th term = a n = a + (n - 1) d = 1/p .... (2) Subtracting (2) from (1) , we obtain optima digital battery charger

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

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In an ap the pth term is q

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WebMar 1, 2024 · If the pth Term of an AP is q and qth Term is p. Prove that its nth Term is (p+q-n) Math Army 117K subscribers 18K views 3 years ago If the pth Term of an AP is q and qth... 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)

In an ap the pth term is q

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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. 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

WebAug 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 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. $$ \Rightarrow a(q - r) + b(r - p) + c(p - q)$$

WebApr 7, 2024 · a + ( p − 1) ⋅ ( − 1) = q ⇒ a − p + 1 = q ∴ a = p + q − 1. Hence, the first term of this arithmetic progression is (p + q – 1). Thus, in order to get the nth term of the AP, we simply need to put the values of the first term and common difference of … WebThe 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...

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 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 portland me cateringWebSep 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* ... optima dmf water pump for saleWebOct 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. optima dtr 8-well strip kitWebIf 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. optima dropship toolsoptima dr searchWebJan 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 portland me channel 13 weatherWebApr 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. optima downtown phoenix