Proving an Inequality : Let an, n>= 1 be an increasing sequence of positive real numbers. Prove that 1/a1 + 2/(a1 + a2) + .... + n/(a1 +... + an) < 4(1/a1 + 1/a2 + ... + 1/an)
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Let an, n>= 1 be an increasing sequence of positive real numbers. Prove that
1/a1 + 2/(a1 + a2) + .... + n/(a1 +... + an) < 4(1/a1 + 1/a2 + ... + 1/an)
Can anything be said about the constant 4?
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Solution Summary
An inequality is proven. The increasing sequences of positive real numbers for inequalities are determined.
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Let be an increasing sequence of positive real numbers. Prove that
Can anything be said about the constant 4?
Solution:
Given: be an increasing sequence of positive real numbers. ...
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