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To begin, let's observe the given terms in the sequence to determine the value of the first term as well as the common difference.
$-1→+0.5-0.5→+0.50→+0.50.5 $
As we can see $d=0.5$ and $a_{1}=-1.$ We can use this information to write an equation for the $n_{th}$ term of the sequence.
We can calculate the fifth term of the sequence, $a_{5}$, by substituting $n=5$ into our equation.
### Graphing the Sequence

$a_{n}=a_{1}+(n−1)d$

$a_{n}=-1+(n−1)0.5$

$a_{n}=0.5n−1.5$

When graphing a sequence, the $x-$axis always represents the number of the term $n$ and the $y-$axis represents the value of the term $a_{n}.$

$n$ | $0.5n−1.5$ | $a_{n}$ | $(n,a_{n})$ |
---|---|---|---|

$1$ | $0.5(1)−1.5$ | $-1$ | $(1,-1)$ |

$2$ | $0.5(2)−1.5$ | $-0.5$ | $(2,-0.5)$ |

$3$ | $0.5(3)−1.5$ | $0$ | $(3,0)$ |

$4$ | $0.5(4)−1.5$ | $0.5$ | $(4,0.5)$ |

$5$ | $0.5(5)−1.5$ | $1$ | $(5,1)$ |

Now let's graph these points on a coordinate plane.