Q. Write three arithmetic sequences with 30 as the sum of the first five terms. Share with your friends Share 0 Brijendra Pal answered this Hi, Sum of series in AP Sn=n22a+n-1dhere sum is 30 and n = 5 30 =522a+4d6 =a+2d Now if a = 0 then d= 3 so series is a, a+d, a+2d, a+3d, a+4d0,3,6,9,12Now when a = 2 then d = 2 so series is 2, 4, 6, 8, 10now when d = 1 then a = 4 so series is 4,5,6,7,8 -2 View Full Answer Akshat Gupta answered this Sum(5) = (5/2)(2a + 4d) = 30? 2a + 4d = 12? a + 2d = 6? a = 6-2d? so we can assign any value to d? e.g. d = 7? then a = 6-14 = -8? one possible sequence is:? -8 , -1, 6, 13, 20? (their sum is 30)? let d = 3? a = 6-6 = 0? terms are:? 0, 3, 6, 9, 12? (their sum is 30)? I think it is helpful for you 3
