An athlete prepares for the Comrades. He jogs out to a certain point and then turns back home. On the first day he turns after 6m.on the second day he turns after 10km. On the third day he turns after 14km.

1.after how many kilometres does he turn on the 4th day

18km

To determine how many kilometers the athlete turns on the fourth day, we need to identify the pattern in which he is increasing the distance each day.

Notice that the athlete is increasing the distance by 4km each day. On the first day, he runs 6km, on the second day 10km (an increase of 4km from the previous day), and on the third day 14km (another increase of 4km from the previous day).

We can observe that the athlete is increasing the distance by 4km each day, so to find out how many kilometers he will turn on the fourth day, we can apply the same pattern:

14km + 4km = 18km

Therefore, on the fourth day, the athlete will turn after 18 kilometers.

To find out how many kilometers the athlete turns on the 4th day, we can observe the pattern in the distances turned on the previous days.

On the first day, the athlete turns after 6 km.
On the second day, the athlete turns after 10 km, which is an increase of 4 km from the first day.
On the third day, the athlete turns after 14 km, which is an increase of 4 km from the second day.

We can see that the athlete is increasing the distance turned by 4 km each day. Therefore, on the 4th day, the athlete would turn after:

14 km + 4 km = 18 km

So, the athlete would turn after 18 kilometers on the 4th day.