Question

The sum of 5 consecutive odd numbers is 145.
What is the third number in this sequence?

Answer 1

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.

Answer 2

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

`x+(x+2)+(x+4)+(x+6)+(x+8)=145`

Solve for x

`5x+20=145`

`5x=145-20`

`5x=125`

`x=25`

so

The sequence is

`25,27,29,31,33`

therefore

the answer is

The third number in the sequence is the number
`29`