Answer:
-1, 1, 3, 5
Step-by-step explanation:
k - an integer
so:
2k+1 - an odd integer
2k+1+2 = 2k+3 - an odd integer consecutive to 2k+1
2k+3+2 = 2k+5 - next consecutive odd integer
2k+5+2 = 2k+7 - the fourth consecutive odd integer
2k+1 + 2k+3 + 2k+5 + 2k+7 = 8
8k + 16 = 8
- 16 -16
8k = - 8
÷8 ÷8
k = -1
2k+1 = 2(-1) + 1 = -2 + 1 = -1
2k+3 = 2(-1) + 3 = -2 + 3 = 1
2k+5 = 2(-1) + 5 = -2 + 5 = 3
2k+7 = 2(-1) + 7 = -2 + 7 = 5
Check: -1+1+3+5 = 3+5 = 8
