An arithmetic progression has 10 terms.The sum of the odd terms is 245 whereas the sum of the even terms is 305 . Find the common difference. Share with your friends Share 0 Shruti Tyagi answered this Dear student, Let a1, a2, a3, a4, a5,.......a10 be the terms of APthen sum of odd terms=245⇒a1+a3+a5+a7+a9=245⇒a+a+2d+a+4d+a+6d+a+8d=245⇒5a+20d=245⇒a+4d=49 --[1]and the sum of even terms=305⇒a2+a4+a6+a8+a10=305⇒a+d+a+3d+a+5d+a+7d+a+9d=305⇒5a+25d=305⇒a+5d=61 --[2]solving [1] and [2]a+4d=49 a+5d=61- - - -d=-12⇒d=12thus, the required common difference is 12. Regards 5 View Full Answer