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Popular >

simplify (n(n+1))/2+n+1

Solution

simplify

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

Solution

\frac{n ^{2} + 3 n + 2}{2}

Solution steps

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

Convert

n

to fraction

: \frac{n \cdot 2}{2}

Convert

1

to fraction

: \frac{2}{2}

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

Apply the fraction rule:

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

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

Simplify

n (n + 1) + n \cdot 2 + 2 : n^{2} + 3 n + 2

= \frac{n ^{2} + 3 n + 2}{2}

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Frequently Asked Questions (FAQ)

What is (n(n+1))/2+n+1 ?
The solution to (n(n+1))/2+n+1 is (n^2+3n+2)/2