Question

The sum of six consecutive odd numbers is 204. What is the fourth number in the sequence

Answer 1

x+x+2+x+4+x+6+x+8+x+10 = 204
6x + 30 = 204
6x = 174
x = 29
six consecutive odd numbers are 29,31,33,35,37,39

answer
the fourth number in the sequence is 35

Answer 2

let numbers be

2n+1 , 2n+3, 2n+5, 2n+7, 2n+9,2n+ 11  and these add up to 204

12n + 36 = 204
12n = 168
n = 14

so fourth number in the sequence is 2(28) + 7 = 63