T19 = 52=> a + 18d = 52 -------(1)T38 = 128=> a + 37d = 128 -------(2)On subtracting equation 1 from 2, we get19d = 76=> d = 4Now,a + 18(4) = 52=> a + 72 = 52=> a = 52 - 72=> a = - 20S56 = 56 /2 [ 2(-20) + ( 55)(4)]= 28 ×( - 40 + 220)= 28 × 180= 5040
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