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a : first term of AP
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If the ratio of sum of the first m & n terms of an A.P. is m² to n².
Show that the ratio of its nth & mth term is (2m-1):(2n-1).
We know that formula of the sum of the arithmetic progression:
According to the question:
We know that nth term of an A.P.;
Therefore,
From equation (1), we get;
Thus,
Proved.
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