In an ap the pth term is q

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August undefined, 2024

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 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, …

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

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) iphonedougawo

The pth term of an A.P. is a and qth term is b. Prove that sum

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 … 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...... WebApr 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. orange wildflower oregon

Misc 15 - The pth, qth and rth terms of AP are a, b, c - teachoo

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

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 orange wildflowers in paWebIf 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. orange wildflowers in utah

"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. " - In an ap the pth term is q

In an ap the pth term is q

The pth term of an A.P. is a and qth term is b. Prove that sum of its

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.

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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) 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.

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... 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 ...

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] = … 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 ...

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.

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 … iphonedude.itWebJan 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 iphonedo twitterWebIf 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. iphonehub.infoWebApr 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. $$ \Rightarrow a(q - r) + b(r - p) + c(p - q)$$ orange windows 8 wallpaperWebIf 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 orange wildflowers richmond vaWebIf 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. iphonehospitalWebThe 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... iphonegh3屏幕