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 WebIf in an A.P., Sn = n 2 p and S m = m 2 p, where S r denotes the sum of r terms of the A.P., then S p is equal to Options 1 2 p 3 mn p P 3 (m + n) p 2 Advertisement Remove all ads …
In an AP if Sm=Sn and also m>n then find the value of S(m-n)
WebSep 7, 2024 · If in an A.P., Sn = qn^2 and Sm = qm^2, where Sr denotes the sum of r terms of the A.P., then Sq equals - Sarthaks eConnect Largest Online Education Community If in an A.P., Sn = qn^2 and Sm = qm^2, where Sr denotes the sum of r terms of the A.P., then Sq equals ← Prev Question Next Question → 0 votes 1.3k views WebLet n = 1, then a (1) = S (1) - S (0) and S (n) = (n+1)/ (n+10) that implies S (1) = 2/11,S (0) = 1/10 but S (0) = Sum of first 0 terms which is equal to zero ( S (0) = 0 ) and that is a contradiction. So the formula a (n) = S (n) -S (n-1) works only for n > 1. bizzy bear app
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WebIf 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 =. 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) 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 dates of 2022 fed rate hikes