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.

Dear student,
Let a1, a2, a3, a4, a5,.......a10 be the terms of APthen sum of odd terms=245a1+a3+a5+a7+a9=245a+a+2d+a+4d+a+6d+a+8d=2455a+20d=245a+4d=49     --[1]and the sum of even terms=305a2+a4+a6+a8+a10=305a+d+a+3d+a+5d+a+7d+a+9d=3055a+25d=305a+5d=61    --[2]solving [1] and [2]a+4d=49 a+5d=61-  -    -        -d=-12d=12thus, the required common difference is 12.
Regards

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