WebMar 30, 2024 · Ex 9.2 , 12 The ratio of the sums of m and n terms of an A.P. is m2: n2. Show that the ratio of mth and nth term is (2m – 1): (2n – 1). 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, WebIf the sum of first m terms of an A.P. is n and the sum of first n terms and m, then the sum of its (m+n) terms is −(m−n). Medium Solution Verified by Toppr Given, sum of first m …
If the sum of first m terms of an A.P. is n and the sum of …
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 Now, Sum of first p terms = Sp = p/2 [2a + (p 1)d] Sum of first q terms = Sq = q/2 [2a + (q 1)d] It is given that Sum of first p terms = Sum of first q terms p/2 [2a + (p 1)d] = q/2 [2a + (q 1)d] p [2a + (p 1)d] = … WebThe first term of an A.P. is 5, the last term is 4 5 and the sum of its terms is 1 0 0 0. Find the number of terms and the common difference of the A.P. Find the number of terms and the common difference of the A.P. cincinnati bengals super bowl 1981
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WebDec 9, 2014 · If the sum of first m terms of an A.P. is n and the sum of first n terms is m, then show that the sum of its first (m + n) terms is - (m + n). Asked by d7016880266 20 Jan, 2024, 08:14: PM ANSWERED BY EXPERT CBSE 10 - Maths maths doubt Asked by dixitayush414 04 Jan, 2024, 09:03: PM ANSWERED BY EXPERT CBSE 10 - Maths WebAn arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression … WebSolution Verified by Toppr Sum of first m terms of an AP =2m 2+3m (given) S m=2m 2+3m Sum of one term =S 1=2(1) 2+3×1=2+3=5= first term Sum of first two terms =S 2=2(2) … cincinnati bengals super bowl 2023