So, Im stuck. Help me with these questions.

Prove that the arithmetic mean of two numbers is not less than their geometric mean. hence, show that if teh sum of four positive numbers is 1, their product is not more than 4^-4

If a:b = c: d prove that a+c:a+b+c+d = a:a+b

if a and g are the arithmetic and geometric means respectively of 'n' and 'm, and k^2 is the arithemetic mean of m^2 and n^2, prove that a^2 is the arithmetic mean of g^2 and k^2

Any helps appreciated.

Prove that the arithmetic mean of two numbers is not less than their geometric mean. hence, show that if teh sum of four positive numbers is 1, their product is not more than 4^-4

If a:b = c: d prove that a+c:a+b+c+d = a:a+b

if a and g are the arithmetic and geometric means respectively of 'n' and 'm, and k^2 is the arithemetic mean of m^2 and n^2, prove that a^2 is the arithmetic mean of g^2 and k^2

Any helps appreciated.

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