# Progressions Part 3

**Algebra**Level 3

Let \(a,b\) and \(c\) be the first three terms of an arithmetic progression, then which of these statements must be true?

(i) \(\quad a^2+c^2+4ac=2(ab+bc+ac)\).

(ii) \(\quad (a-c)^2=4(a-b)(b-c) \).

Let \(a,b\) and \(c\) be the first three terms of an arithmetic progression, then which of these statements must be true?

(i) \(\quad a^2+c^2+4ac=2(ab+bc+ac)\).

(ii) \(\quad (a-c)^2=4(a-b)(b-c) \).

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