Calculate (1/(1+2))+(1/(1+2+3))+(1/(1+2+3+4))+…+(1/(1+2+3+… +2008)).
计算(1/(1+2))+(1/(1+2+3))+(1/(1+2+3+4))+…+(1/(1+2+3+…+2008))．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 2_009</gadget>
<output>1/2_009 = around 0.000498</output>

<gadget id="calculator">(1/2) - (1/2_009)</gadget>
<output>2_007/4_018 = around 0.499502</output>

<gadget id="calculator">2 * (2_007/4_018)</gadget>
<output>2_007/2_009 = around 0.999004</output>

<result>2_007/2_009 = around 0.999004</result>