Calculate:  $$\frac{1}{1 \times 2}+ \frac{2}{2 \times 4}+ \frac{3}{4 \times 7}+ \frac{4}{7 \times 11}+ \frac{5}{11 \times 16}+ \frac{6}{16 \times 22}+ \frac{1}{22}$$. 
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