# What is the third term of the sequence {eq}a_n = \dfrac{8}{n+1} {/eq}?

## Question:

What is the third term of the sequence {eq}a_n = \dfrac{8}{n+1} {/eq}?

## General Term of a Sequence:

We can figure out any term of a sequence if we know the formula for its general term. Given the general term {eq}a_n {/eq}, we can find the {eq}k^{\mathrm{th} } {/eq} term by substituting {eq}n=k {/eq}.

One of the types of sequences is a harmonic sequence, whose general term is obtained using:

$$a_n = \displaystyle \frac{1}{a_1+(n-1)d}$$

where the denominator is an arithmetic sequence, whose first term is {eq}a_1 {/eq} and whose common difference is {eq}d {/eq}.

\begin{align*} a_n &= \dfrac{8}{n+1}\\[0.3cm] a_3 &= \dfrac{8}{3+1}\\[0.3cm] & =\bf{2} \end{align*}