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 … WebFeb 23, 2016 · Given : S n S m = n 4 m 4 (where S k is the sum of first k terms an AP a 1 , a 2, . . . ) We know : Sum of n terms in A.P. : S n = n 2 2 a + n - 1 d , So
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WebSep 1, 2024 · Given; In an A.P, Sm = n and Sn = m, also m > n To Find; the sum of the first ( m-n ) terms. Solution; It is given that In an A.P, Sm = n and Sn = m, also m > n Sn=n2 [2a+ (n−1)d] =m Sm=m2 [2a+ (m−1)d]=n Sn−Sm=n2 [2a+ (n−1)d]−m2 [2a+ (m−1)d] 2 (m−n)=2a (n−m)+ [ (n2−m2)− (n−m)]d−2 (n−m)= (n−m) [2a+ { (n+m)−1}d] Divide (n-m) to both sides. 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 Thus, Sum of n terms = Sn = /2 (2a + (n 1)d) And Sum of m terms = Sm = /2 (2a + (m 1)d) It is given that, ratio of the sums of m and n terms of an A.P. is m2: n2 (Sum of m terms )/ (Sum of n terms) = m2/n2 (Sm )/ … how does spy x family end
If Sn = N2 P and Sm = M2 P, M ≠ N, in an A.P., Prove that Sp = P3 ...
WebIf Sn = N2 P and Sm = M2 P, M ≠ N, in an A.P., Prove that Sp = P3. Department of Pre-University Education, Karnataka PUC Karnataka Science Class 11. Textbook Solutions 11069. Important Solutions 5. Question Bank Solutions 5824. Concept Notes & Videos 238. Syllabus. If Sn = N2 P and Sm = M2 P, M ≠ N, in an A.P., Prove that Sp = P3. ... WebJul 16, 2024 · To score a field goal, the ball must pass over a 3 m high crossbar on the goal lin … e. 3 m The player kicks the ball directly at the goal, and the height of the ball above the ground after travelling cm horizontally is given by 40 m H = -0.02x²+0.9x+0.2 m. a Use technology to help sketch the function from x = 0 until the ball lands on the ... WebOct 6, 2024 · 2.1K views 2 years ago A.P.series In an A.P. the sn= n²p and sm =m²p,m not equal to n then, prove that sp= p³ Sn =n2p and Sm =m2p,m =n, in an AP, prove that Sp =p3 - Toppr The... how does spring batch works