I don't see why. In (14) the indices which play a role are: 1, 4, and 7. In (0) the indices are 1,4,7, and 10. When (0) is true, why should (14) be true? Consider the following example: $$x_1 = x_4 = x_7 = 1 \qquad \text{and} \qquad x_{10} = -2$$ Then we've got: $$x_1 + x_4 + x_7 + x_{10} = 1 + 1 + ...