1 × 3 / 1 + 3 × 5 / 1 + 5 × 7 / 1 All the way up to one in 2011 × 2013 1 × 3 / 1 + 3 × 5 / 1 + 5 × 7 / 1 All the way up to one in 2011 × 2013 How much is the answer? Give the equation. Take a picture

1 × 3 / 1 + 3 × 5 / 1 + 5 × 7 / 1 All the way up to one in 2011 × 2013 1 × 3 / 1 + 3 × 5 / 1 + 5 × 7 / 1 All the way up to one in 2011 × 2013 How much is the answer? Give the equation. Take a picture

1 * 3 / 1 + 3 * 5 / 1 + 5 * 7 / 1 +. + 2013 * 2015 / 1

1 * 3 / 1 + 3 * 5 / 1 + 5 * 7 / 1 +. + 2013 * 2015 / 1
=(1/2)×(1-1/3+1/3-1/5+1/5-1/7+...+1/2013-1/2015)
=(1/2)×(1-1/2015)
=(1/2)×(2014/215)
=1007/2015;
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11×3+13×5+15×7+… +12009×2011．

The original formula is 12 × (1-13 + 13-15 + 15-17 +...) +12009-12011）=12×（1-12011）=10052011．