展开 ((n-5(-1)^n))/n

解答

展开

\frac{( n - 5 ( - 1 ) ^{n} )}{n}

1 - \frac{5 ( - 1 ) ^{n}}{n}

求解步骤

\frac{n - 5 ( - 1 ) ^{n}}{n}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{n - 5 ( - 1 ) ^{n}}{n} = \frac{n}{n} - \frac{5 ( - 1 ) ^{n}}{n}

= \frac{n}{n} - \frac{5 ( - 1 ) ^{n}}{n}

使用法则

\frac{a}{a} = 1

\frac{n}{n} = 1

= 1 - \frac{5 ( - 1 ) ^{n}}{n}

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