In an ap sm n and sn m find sm+n
WebMar 12, 2024 · If in an A.P., Sn = n²p and Sm = m²p, where Sr denotes the sum of r terms of the A.P., then Sp is equal to A. (1/2)p³ B. mn p C. p³ D. (m + n) p² 1 See answer Advertisement abhi178 answer : option (C) p³ given, Sn = n²p and Sm = m²p here Sr denotes the sum of r terms of the ap. we have to find Sp Web“Ä,!6 3ˆy }ãY ™R Q mÖ Çdróï^ÎøŸãCÝ é ½ ü áßÀoa4Á Œ€(„} ³~²*®¿ë,£è§ÃáŸÿ þÞ È Ã^ öЧ Œáÿu„ sç¦Þí ‰ C ee '[hwºEb$#¹í_À%„™ùa ö·Ï¹ó,+ÿ8åyÆŽµ ÀbÚ¯°! ^¨+Š äm@t}Õ…>r»–çmD;@ ø· êÆ-¢)*¾ ¯áÇaÒeòñU žÑ ñÛðÄŸôI pj*P÷Jug“à GŽ¼ ÂáÿpÖ ...
In an ap sm n and sn m find sm+n
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WebJul 26, 2024 · Best answer Let the first term of the AP be a and the common difference be d Given: Sm = m2p and Sn = n2p To prove: Sp = p3 According to the problem (m - n)d = 2p (m - n) Now m is not equal to n So d = 2p Substituting in 1st equation we get Hence proved. ← Prev Question Next Question → Find MCQs & Mock Test Free JEE Main Mock Test WebSolution Verified by Toppr Let a be the first term and d be the common difference of the given A.P. Then, S m=n 2m{2a+(m−1)d}=n 2am+m(m−1)d=2n ... (i) and, S n=m 2n{2a+(n−1)d} 2an+n(n−1)d=2m ... (ii) Subtracting equation (ii) from equation (i), we get 2a(m−n)+{m(m−1)−n(n−1)}d=2n−2m 2a(m−n)+{(m 2−n 2)−(m−n)}d=−2(m−n)
WebIf the sum of first m terms of an AP is n and the sum of first n terms is m , then show that sum of first (m+n) term is - (m+n). Solution Let a be the first term and d be c.d. of the A P … WebIf in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m,then prove that the sum of (m-n) terms is -(m+n).
WebLet a is the first term and d is the common difference . (m - n) = -2a (m-n)/2 - (m-n) (m+n)/2+ (m-n)d/2 1 = -2a/2 - (m+n)/2 + d/2 1 = -1/2 {2a + (m+n-1)d} --------- (1) from equation (1) S_ {m+n} = - (m+n) 2Thank You ANSWER Related Questions Prove 5^ is irrational Posted by Tanvi Tripathi 1 day, 20 hours ago CBSE > Class 10 > Mathematics 2 answers WebBackground. Q fever is a zoonotic disease caused by Coxiella burnetii infection, the main source of infection is domestic ruminants. 1 The most common reservoirs are cattle, sheep, and goats. 2 C. burnetii mainly exists in the urine, feces, amniotic fluid, and other excreta of infected animals, and it can survive in the environment for several years, and can form …
WebSo the formula a (n) = S (n) -S (n-1) works only for n > 1. For n = 1, a (n) = S (n) and that make sense because a (1) is first term and S (1) is sum of first 1 term. Hope this is clear to you. …
WebIn an AP if Sm=Sn and also m>n then find the value of S(m-n) In an AP if Sm=Sn and also m>n then find the value of S(m-n) Aamir, 4 years ago Grade:10. × FOLLOW QUESTION We will notify on your mail & mobile when someone answers this question. ... the paper pullerWebOct 5, 2015 · Let a and d be the first term and common difference of A.P. respectively.. Given, S m = S n. Thus, S m + n = 0 thepaperquillingshop.comWebIn an AP if Sm=Sn and also m>n then find the value of S(m-n)First term = a , common difference = d Sm = n →m/2(2a + (m-1)d) = n …….(1) Sn = m × Book a Trial With Our Experts shuttle computer group incWebIf the sum of the first m terms of an AP be n and the sum of its first n terms be m then show that the sum of its first term is − (m + n). Q. If in an AP the sum of first m terms= n and the sum of first n terms= m, prove that sum of (m+n) term is -(m+n). the paper pupWebIn an AP, if Sₙ = n (4n + 1), find the AP Solution: Given, the expression for the sum of the terms is Sₙ = n (4n + 1) We have to find the AP. Put n = 1, S₁ = 1 (4 (1) + 1) = 4 + 1 = 5 Put n … shuttle computerWebSolution If in an A.P., S n = qn 2 and S m = qm 2, where S r denotes the sum of r terms of the A.P., then Sq equals q3. Explanation: The given series is A.P. whose first term is a and common difference is d ∴ S n = n 2 [ 2 a + ( n - 1) d] = qn 2 ⇒ 2a + (n – 1)d = 2qn .... (i) S m = m 2 [ 2 a + ( m - 1) d] = qm 2 ⇒ 2a + (m – 1)d = 2qm ..... (ii) the paper puller lincoln neWebIf S n = n 2 p and S m = m 2 p, m ≠ n, in an A.P., prove that S p = p 3. Q. If Sn denotes the sum of first n terms of an A.P. such that Sm Sn = m2 n2, then am an =. shuttle computer xh61v