contestada

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?

Respuesta :

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

[tex]r=5-3=2[/tex]

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

[tex]3+2=5\\5+2=7\\7+2=9\\9+2=11\\11+2=13[/tex]

The sequence is

[tex]3,5,7,9,11,13[/tex]

Therefore, the sixth side is 13 meters long.

Otras preguntas