What is 1/n-1/(n+1) ?

The solution to 1/n-1/(n+1) is 1/(n(n+1))

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simplify 1/n-1/(n+1)

simplify

\frac{1}{n} - \frac{1}{n + 1}

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

Solution steps

\frac{1}{n} - \frac{1}{n + 1}

Least Common Multiplier of

n, n + 1 : n (n + 1)

Adjust Fractions based on the LCM

= \frac{n + 1}{n ( n + 1 )} - \frac{n}{n ( n + 1 )}

Apply the fraction rule:

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

= \frac{n + 1 - n}{n ( n + 1 )}

Simplify

n + 1 - n : 1

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

∣ 2 x - 3 ∣ = 8

y - 64 \geq - 128

x^{3} - 2 x^{2} - 29 x - 42

∣ x - 5 ∣ < 2 x + 3

12 8^{- \frac{2}{7}}