In an ap the pth term is q
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. 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 …
In an ap the pth term is q
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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 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 …
WebIn 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). … WebApr 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) …
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) 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......
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 …
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 dvd shuttleWebApr 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. $$ \Rightarrow a(q - r) + b(r - p) + c(p - q)$$ dvd shrinking software freeWebApr 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 … dutch airline founded in 1919WebIf 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 … dvd sized hailWebJul 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 dutch alcoholic spiritWebResult. 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. dutch allen singleterry corpus christi texasWebIf 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. dutch aligner society