Question
Which one of the following is the arithmetic mean of
β3 - β2 and its reciprocal?Solution
Now reciprocal of β3 - β2 => 1/(β3 - β2) => (β3 + β2)/[(β3 + β2) (β3 - β2)] => (β3 + β2)/[(β3)2 - (β2)2] => (β3 + β2)/(3 β 2) => β3 + β2 Hence, the required arithmetic mean, => [(β3 - β2) + (β3 + β2)]/2 => 2β3/2 => β3
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