已知数列lga,lgb,lgc与lga-lg2b,lg2b-lg3c,lg3c-lga都是等差数列.求证:b+c-a/a,a+c-b/b,2a+b-c/a也是等差

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已知数列lga,lgb,lgc与lga-lg2b,lg2b-lg3c,lg3c-lga都是等差数列.求证:b+c-a/a,a+c-b/b,2a+b-c/a也是等差

已知数列lga,lgb,lgc与lga-lg2b,lg2b-lg3c,lg3c-lga都是等差数列.求证:b+c-a/a,a+c-b/b,2a+b-c/a也是等差
已知数列lga,lgb,lgc与lga-lg2b,lg2b-lg3c,lg3c-lga都是等差数列.求证:b+c-a/a,a+c-b/b,2a+b-c/a也是等差

已知数列lga,lgb,lgc与lga-lg2b,lg2b-lg3c,lg3c-lga都是等差数列.求证:b+c-a/a,a+c-b/b,2a+b-c/a也是等差
先化简么,lga,lgb,lgc与lga-lg2b,lg2b-lg3c,lg3c-lga
接着,带入b+c-a/a,a+c-b/b,2a+b-c/a,
可得他们是相同的