Progressions Part 3

Algebra Level 3

Let a,ba,b and cc be the first three terms of an arithmetic progression, then which of these statements must be true?

(i) a2+c2+4ac=2(ab+bc+ac)\quad a^2+c^2+4ac=2(ab+bc+ac).
(ii) (ac)2=4(ab)(bc)\quad (a-c)^2=4(a-b)(b-c) .

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