(1-1/qn)/(1-1/q)化简
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(1-1/qn)/(1-1/q)化简
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To simplify the expression (1-1/qn)/(1-1/q), we can first take the reciprocal of both the numerator and the denominator:
(1-1/qn)/(1-1/q) = (1/qn-1)/(1/q-1)
Next, we can multiply both the numerator and the denominator of the fraction on the left side by q:
(1/qn-1)/(1/q-1) = (q/qn-q)/(q/q-1)
Simplifying further by distributing q to the terms in the numerator:
(q/qn-q)/(q/q-1) = (q - qn)/(q - 1)
Therefore, the simplified form of (1-1/qn)/(1-1/q) is (q - qn)/(q - 1).
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