$12\mathrm{.}2$ Arithmetic sequences and series

Real$-$world applications

$($Example for Arithmetic Sequnce$)$

Scenario $1$: Suppose you start a fitness program where you decide to run $2$ km on

the first day and increase your distance by $0\mathrm{.}5$ km each day. What distance will

you run on the $8$th day?

$($Example for Arithmetic Series$)$

Scenario $2$: Continuing with the fitness program example, how many total

kilometers will you have run by the end of the $8$th day?