Respuesta :

TaeKwonDoIsDead

Answer:

[tex]a_{10}=\frac{20}{11}[/tex]


Step-by-step explanation:

The formula for nth term of a the sequence is given as  [tex]a_n=\frac{2n}{n+1}[/tex]


Finding the 10th term means finding  [tex]a_{10}[/tex], which means to plug in 10 into n, in the nth term formula.

[tex]a_{10}=\frac{2(10)}{(10)+1}=\frac{20}{11}[/tex]

alinakincsem

Answer:

330

Step-by-step explanation:

We are given the following arithematic sequence and we are to find the 10th term in this sequence:

[tex] a_n = \frac {2n} {( n + 1 )} [/tex]

where [tex] n [/tex] is the number of the term.

To find the 10th term, we will simply substitute '10' in place of n in the above given formula:

[tex] a_n = \frac {2n} {( n + 1 )} [/tex]

[tex] a_{10} = \frac {2(10)} {( 10 + 1 )} =30(11) = 330[/tex]

Therefore, the 10th term of this sequence is 330.

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