Calculation: (1/(1+2))+(1/(1+2+3))+(1/(1+2+3+4))+…+(1/(1+2+3+ 4+...+100)).
计算：(1/(1+2))+(1/(1+2+3))+(1/(1+2+3+4))+…+(1/(1+2+3+4+…+100))．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 101</gadget>
<output>1/101 = around 0.009901</output>

<gadget id="calculator">(1/2) - (1/101)</gadget>
<output>99/202 = around 0.490099</output>

<gadget id="calculator">2 * (99/202)</gadget>
<output>99/101 = around 0.980198</output>

<result>99/101 = around 0.980198</result>