If the sum of first 20 terms of an A.P. is same as the sum of its first 28 terms, find the sum of its 48 terms.
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The expression 4x3 - bx2 + x - c leaves remainder 0 and 30 when divided by (x + 1) and (2x - 3) respectively. Calculate the values of b and c.
If a, b, c are in A.P., show that : (b + c), (c + a) and (a + b) are also in A.P.