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.
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]