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Popular >

simplify (k(k+1))/2+k+1

Solution

simplify

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

Solution

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

Solution steps

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

Convert

k

to fraction

: \frac{k \cdot 2}{2}

Convert

1

to fraction

: \frac{2}{2}

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

Apply the fraction rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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