Plzz answer Q31 31. For what value of m are the mth terms of the following two A.P.s the same? (i) 1, 3, 5, 7,.... (ii) 4, 8, 12, 16,... Share with your friends Share 1 Manbar Singh answered this The first AP is,1, 3, 5, 7, ........Now, first term, a = 1common difference, d = 3 - 1 = 2mth term of first AP = am = a + m-1d = 1 + m-12 = 2m-1The second AP is,4, 8, 12, 16, .........Now, first term a' = 4common difference, d' = 8-4 = 4Now, mth term of second AP =am' = a' + m-1d' = 4+m-14 = 4mNow, am = am'⇒2m-1 = 4m⇒-2m = 1⇒m = -12 not a natural numberSo, there is no value of m for which the mth term of both AP's are equal. 1 View Full Answer
