Question

For the sequence alt="a_{n} = 2n/(n+1)" align="absmiddle" class="latex-formula">, what is the value of $a_{10}$

Answer 1

Answer:

$a_{10}=\frac{20}{11}$

Step-by-step explanation:

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

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

$a_{10}=\frac{2(10)}{(10)+1}=\frac{20}{11}$

Answer 2

Answer:

330

Step-by-step explanation:

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

$a_n = \frac {2n} {( n + 1 )}$

where $n$ 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:

$a_n = \frac {2n} {( n + 1 )}$

$a_{10} = \frac {2(10)} {( 10 + 1 )} =30(11) = 330$

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