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

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

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simplify 1/(n!)+1/((n+1)!)

simplify

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

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

(\frac{3}{7})^{4}

4 = 5 d - 11

7 x^{2} + 35 x + 42

∣ x + 7 ∣ \leq 5

x^{2} + 8 x - 16 = 0

What is 1/(n!)+1/((n+1)!) ?
The solution to 1/(n!)+1/((n+1)!) is ((n+1)!+n!)/(n!(n+1)!)