Kane is trading for a marathon he starts running 3 miles during every training season each week plans to increase the distance of his run by 1/4 mile . Let w be the number of weeks write and expression to show the distance Kane runs in a training session after w weeks

(11+w)/4

Step-by-step explanation:

Let the first term be 3 miles

If he plans to increase the distance of his run by 1/4 mile, then

common difference = 1/4

To get the distance Kane runs in a training session after w weeks , we will use the nth term of an AP

Tw = a+(w-1)d

Tw = 3 + (w-1)(1/4)

Tw = 3 + 1/4 w - 1/4

Tw = 11/4 + 1/4 w

Tw = (11+w)/4

Hence the distance Kane runs in a training session after w weeks is (11+w)/4 weeks