Question

8 wooden poles are to be used for pillars, and the length of the poles forms an arithmetic progression. If the second pole is 2 m and the sixth pole is 5 m, give the length of the pool in order.

a) 2m, 2.5m, 3m, 3.5m, 4m, 4.5m, 5m, 5.5m
b) 2m, 3m, 4m, 5m, 6m, 7m, 8m, 9m
c) 2m, 3m, 4m, 4.5m, 5m, 5.5m, 6m, 6.5m
d) 2m, 2.5m, 3m, 3.5m, 4m, 5m, 5.5m, 6m

Answer 1

The length of the wooden poles forms an arithmetic progression with a common difference of 3 meters. The length of the poles in order is 2m, 3m, 4m, 5m, 6m.

Step-by-step explanation:

The length of the poles forms an arithmetic progression, which means that the difference between consecutive terms is constant.

To find the common difference, we need to subtract the length of the second pole from the length of the sixth pole: 5m - 2m = 3m.

Now, we can determine the length of the other poles by adding the common difference to each previous term.

So, the length of the poles in order is: 2m, 3m, 4m, 5m, 6m.