Question

The lengths of the sides of a 6-sided polygon are an arithmetic sequence. the length of the shortest side is 3 meters. If the length of the next longer side is 5 meters, what is the length of the longest side?

Answer 1

13 meters.

Explanation:

An arithmetic sequence refers to a sequence which is built by adding a positive or negative number.

In this case, the arithmetic sequence has 6 terms, where the first term is 3, and the second term is 5. To find the reason of the sequence we subtract

`r=5-3=2`

So, to find the sixth term, we have to sum +2 until get there

`3+2=5\\5+2=7\\7+2=9\\9+2=11\\11+2=13`

The sequence is

`3,5,7,9,11,13`

Therefore, the sixth side is 13 meters long.