If a, b, c are in A.P., then show that: (i) a2(b+c),b2(c+a),c2(a+b) ar – InterviewSolution

1.	If a, b, c are in A.P., then show that: (i) a2(b+c),b2(c+a),c2(a+b) are also in A.P. (ii) b+c−a,c+a−b,a+b−c are in A.P. (iii) bc−a2,ca−b2,ab−c2 are in A.P.
Answer» If a, b, c are in A.P., then show that: (i) $a^{2} (b + c), b^{2} (c + a), c^{2} (a + b)$ are also in A.P. (ii) $b + c - a, c + a - b, a + b - c$ are in A.P. (iii) $b c - a^{2}, c a - b^{2}, a b - c^{2}$ are in A.P.

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