The ratio of the sums of and ‘n’ terms of an A .P. is m² : n². Show that the ratio of the mth and nth terms is (2m – 1) : (2n – 1).

Let ‘a’ be the first term and ‘d’ be the common difference of the A .P.

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The ratio of the sums of and ‘n’ terms of an A .P. is m2 : n2. Show that the ratio of the mth and nth terms is (2m – 1) : (2n – 1).

Arithmetic Progressions

Mathematics

The ratio of the sums of and ‘n’ terms of an A .P. is m² : n². Show that the ratio of the mth and nth terms is (2m – 1) : (2n – 1).