OpenMP: nowait and reduction clauses on the same pragma

I am studying OpenMP, and came across the following example:

#pragma omp parallel shared(n,a,b,c,d,sum) private(i)
{
    #pragma omp for nowait
    for (i=0; i<n; i++)
        a[i] += b[i];

    #pragma omp for nowait
    for (i=0; i<n; i++)
        c[i] += d[i];
    #pragma omp barrier

    #pragma omp for nowait reduction(+:sum)
    for (i=0; i<n; i++)
        sum += a[i] + c[i];
} /*-- End of parallel region --*/

In the last for loop, there is a nowait and a reduction clause. Is this correct? Doesn't the reduction clause need to be syncronized?