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21. If mth term of an APisnandnthtermism.thentinditsmnthterm.

Answer»

mth term is n so a + (m-1)d = n a + md - d = n nth term is m so a + (n-1)d = m a + nd - d = m a + md - d - a - nd + d = n - m (m-n)d = -1*(m-n) d = -1 a - m + 1 = n a = m + n - 1 mnth term a + (mm-1)d = m + n - 1 - mn + 1 = m + n - mn

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