Respuesta :

Well, in order to get 145, you'd need to add up 15, 27, 29, 31,  and 33.
The third number in this sequence is 29, so... there you have it.

Let

x-------> the first odd number

x+2----> the second consecutive odd number

x+4----->  the third consecutive odd number

x+6----->  the fourth consecutive odd number

x+8----->  the fifth  consecutive odd number

we know that

[tex]x+(x+2)+(x+4)+(x+6)+(x+8)=145[/tex]

Solve for x

[tex]5x+20=145[/tex]

[tex]5x=145-20[/tex]

[tex]5x=125[/tex]

[tex]x=25[/tex]

so

The sequence is

[tex]25,27,29,31,33[/tex]

therefore

the answer is

The third number in the sequence is the number [tex]29[/tex]