WebDec 11, 2024 · If Sm=Sn for some A.P, then prove that Sm+n=0 Arithmetic Progression 624 views Dec 11, 2024 18 Dislike Share VipraMinds (Rahul Sir) 44K subscribers If Sm=Sn for some A.P, … WebIf the sum of m terms of an AP is equal to the sum of either the next n terms or the next p terms, then prove that (m + n) (1 m − 1 p) = (m + p) (1 m − 1 n). Q. If the sum of m terms of an AP is equal to sum of n terms of AP then sum of m+n terms js
In an AP if Sm=Sn and also m>n then find the value of S(m-n)
WebIn 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 =2, S₂ = 2(4(2) + 1) = 2(8 + 1) = 2(9) = 18. The AP in terms of common difference is given by. a, a+d, a+2d, a+3d,....., a+(n-1)d. So, S₁ = a. First ... 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 ... church of christ relief organization
In an A. P., Sm : Sn = m^2 : n^2 The ratio of p^2 th term to …
WebWe have to find the AP. Put n = 1, S₁ = 1(4(1) + 1) = 4 + 1 = 5. Put n =2, S₂ = 2(4(2) + 1) = 2(8 + 1) = 2(9) = 18. The AP in terms of common difference is given by. a, a+d, a+2d, a+3d,....., a+(n-1)d. So, S₁ = a. First term, a = 5. S₂ = sum of first two terms of an AP = a+ a + d = 2a + d. To find the common difference d, 2a + d = 18. 2 ... WebDec 28, 2024 · If in an arthemetic progression sm=n and sn=m, then prove that sm+n=- (m+n). See answers Advertisement abhi178 Let 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) hence, proved // … Web>> If Sn = n^2p and Sm = m^2p, m≠ n , in an Question If S n=n 2p and S m=m 2p,m =n, in an A.P., then S p=p 3. A True B False Medium Solution Verified by Toppr Correct option is A) S n=n 2p 2a+(n−1)d=2mp ---- (i) s m=m 2p 2a+(m−1)d=2mp ------ (ii) eqn (i)- (ii) 2a+dn−d−2a−dm+d=2np−2mp dn−dm=2p(n−m) d(n−m)=2p(n−m) d=2p 2a+2pn−2p=2np … dewalt miter saw recall video