Question

For a sequence an=3/n(n+1) what is the value of a 10

Answer 1

`\large\boxed{a_(10)=(3)/(110)}`

Explanation:

Put n = 10 to the equation
`a_n=(3)/(n(n+1))`

`a_(10)=(3)/(10(10+1))=(3)/(10(11))=(3)/(110)`

Answer 2

For this case we have the following sequence:

`a_ {n} = \frac {3} {n (n + 1)}`

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

`a_ {10} = \frac {3} {10 (10 + 1)}\\a_ {10} = \frac {3} {10 * 11}\\a_ {10} = \frac {3} {110}`

ANswer:

`a_ {10} = \frac {3} {110}`