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Popular >

expand (n*(n+1))/2

Solution

expand

\frac{n \cdot ( n + 1 )}{2}

Solution

\frac{n ^{2}}{2} + \frac{n}{2}

Solution steps

\frac{n ( n + 1 )}{2}

Expand

n (n + 1) : n^{2} + n

= \frac{n ^{2} + n}{2}

Apply the fraction rule:

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

\frac{n ^{2} + n}{2} = \frac{n ^{2}}{2} + \frac{n}{2}

= \frac{n ^{2}}{2} + \frac{n}{2}

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Frequently Asked Questions (FAQ)

What is expand (n*(n+1))/2 ?
The solution to expand (n*(n+1))/2 is (n^2)/2+n/2