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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?

Verified Answer :

wolf1728

Assuming the length increases by 2 meters, the sides are:
3, 5, 7, 9, 11, and the 6th side is 13

Answer:

13 meters.

Step-by-step 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.

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