Chapter 9, Problem 1RE

To determine

To find:The first five terms of the sequence.

Answer to Problem 1RE

The first five terms are $8,5,4,3.5,3.2$.

Explanation of Solution

Consider the sequence,

  $a_n=2+\frac{6}{n}$

The first five terms of the sequence are calculated as,

  $\begin{array}{c}{a}_1=2+\frac{6}{1}\\ =8\end{array}$

And,

  $\begin{array}{c}{a}_2=2+\frac{6}{2}\\ =2+3\\ =5\end{array}$

And,

  $\begin{array}{c}{a}_3=2+\frac{6}{3}\\ =2+2\\ =4\end{array}$

And,

  $\begin{array}{c}{a}_4=2+\frac{6}{4}\\ =2+1.5\\ =3.5\end{array}$

And,

  $\begin{array}{c}{a}_5=2+\frac{5}{6}\\ =2+1.2\\ =3.2\end{array}$

Therefore, the first five terms are $8,5,4,3.5,3.2$.