3 years ago

How do u solve the area if theres more then one number to multiply

Mathematics

1 answer:

Alex Ar [27]3 years ago

3 0

Do something like his

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Hello,

$\dfrac{1}{n} - \dfrac{1}{n+1} = \dfrac{1}{n(n+1)} \\

 \dfrac{1}{1*2} = \dfrac{1}{1} - \dfrac{1}{2} \\

 \dfrac{1}{2*3} = \dfrac{1}{2} - \dfrac{1}{3} \\

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...\\
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$

Adding member by member, we have

$\dfrac{1}{1*2} + \dfrac{1}{2*3} +\dfrac{1}{3*4} +...\dfrac{1}{n*(n+1)}=\\
 
\dfrac{1}{1} - \dfrac{1}{n+1} \\

= \dfrac{n}{n+1} \\

$

if n=100 sum $\boxed{= \dfrac{100}{101} }$

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