Calculation: (((1/1)-(1/3))/((1/1)*(1/2)*(1/3)))+(((1/2)-(1/4 ))/((1/2)*(1/3)*(1/4)))+(((1/3)-(1/5))/((1/3)*(1/4 )*(1/5)))+…+(((1/2014)-(1/2016))/((1/2014)*(1/2015)*(1/2016))).
计算：(((1/1)-(1/3))/((1/1)*(1/2)*(1/3)))+(((1/2)-(1/4))/((1/2)*(1/3)*(1/4)))+(((1/3)-(1/5))/((1/3)*(1/4)*(1/5)))+…+(((1/2014)-(1/2016))/((1/2014)*(1/2015)*(1/2016)))．
<gadget id="calculator">2_014 + 1</gadget>
<output>2_015</output>

<gadget id="calculator">2_015 / 2</gadget>
<output>2_015/2 = around 1_007.5</output>

<gadget id="calculator">2 * (2_015/2) * 2_014</gadget>
<output>4_058_210</output>

<gadget id="calculator">2 * 2_014</gadget>
<output>4_028</output>

<gadget id="calculator">4_058_210 + 4_028</gadget>
<output>4_062_238</output>

<result>4_062_238</result>