\eqalign{ & {\text{The value of}} \cr & \frac{3}{{{1^2} \times {2^2}}} + \frac{5}{{{2^2} \times {3^2}}} + \frac{7}{{{3^2} \times {4^2}}} + \frac{9}{{{4^2} \times {5^2}}} + \frac{{11}}{{{5^2} \times {6^2}}} + \frac{{13}}{{{6^2} \times {7^2}}} + \frac{{15}}{{{7^2} \times {8^2}}} + \frac{{17}}{{{8^2} \times {9^2}}} + \frac{{19}}{{{9^2} \times {{10}^2}}}\,\,\,\,{\text{is = ?}} \cr} $$

• A. 1/100
• B. 99/100
• C. 1
• D. 101/100