Respuesta :

gmany

Answer:

[tex]\large\boxed{a_{10}=\dfrac{3}{110}}[/tex]

Step-by-step explanation:

Put n = 10 to the equation [tex]a_n=\dfrac{3}{n(n+1)}[/tex]

[tex]a_{10}=\dfrac{3}{10(10+1)}=\dfrac{3}{10(11)}=\dfrac{3}{110}[/tex]

carlosego

For this case we have the following sequence:

[tex]a_ {n} = \frac {3} {n (n + 1)}[/tex]

We must find the value of[tex]a_ {10}[/tex], then, substituting [tex]n = 10[/tex] in the formula we have:

[tex]a_ {10} = \frac {3} {10 (10 + 1)}\\a_ {10} = \frac {3} {10 * 11}\\a_ {10} = \frac {3} {110}[/tex]

ANswer:

[tex]a_ {10} = \frac {3} {110}[/tex]

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