What is 1/(n^3)*((n+1)(2n+1))/6 ?

The solution to 1/(n^3)*((n+1)(2n+1))/6 is ((n+1)(2n+1))/(6n^3)

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simplify 1/(n^3)*((n+1)(2n+1))/6

simplify

\frac{1}{n ^{3}} \cdot \frac{( n + 1 ) ( 2 n + 1 )}{6}

\frac{( n + 1 ) ( 2 n + 1 )}{6 n ^{3}}

Solution steps

\frac{1}{n ^{3}} \cdot \frac{( n + 1 ) ( 2 n + 1 )}{6}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot ( n + 1 ) ( 2 n + 1 )}{n ^{3} \cdot 6}

Apply rule:

1 \cdot a = a

1 \cdot (n + 1) (2 n + 1) = (n + 1) (2 n + 1)

= \frac{( n + 1 ) ( 2 n + 1 )}{n ^{3} \cdot 6}

= \frac{( n + 1 ) ( 2 n + 1 )}{6 n ^{3}}

4 x + 6

2 x + 3 \geq - 1

- 5 \leq \frac{- 3 x + 1}{4} \leq 6

lo g_{a} (\frac{1}{a})

What is 1/(n^3)*((n+1)(2n+1))/6 ?
The solution to 1/(n^3)*((n+1)(2n+1))/6 is ((n+1)(2n+1))/(6n^3)