Write fourth term of an AP when the frist term is 4 and the common difterence is -3.
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Let d be the common difference. The sum of the first 12 terms is then
4+(4+d)+(4+2d)+ ... +(4+11d)
Recall now the key fact that the sum of the first n integers is (n+1)n2. Obviously you can write the expression for the sum of the first 8 terms similarly and it should now reduce just to arithmetic.....................
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