A runner is preparing himself for a long-distance race. He covered km on the first day,
then increased the distance by 0.5 kilometers daily.
Find the sum of the distances that the runner covered in the first 14 days.
Remember the sum of an arithmetic series is given by
where is the first term and is the common difference. For the series we have been given,
Therefore, to find the distance travelled by the runner in the first 14 days, we can substitute these values into the equation.