For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <2>*<3>? Select.
A) 210 B) 116 C) 212 D) 263 E) 478
Since <x></x>=2x+(2x-1)+(2x-2)+......2+1=1+2+..+(2x-2)+(2x-1)+2x then<x> is basically the sum of all integers from 1 to 2x, inclusive.   Hence &lt;3&gt; is the sum of all integers from 1 to  2*3</x>= 
<gadget id="calculator"> 2*3</gadget>
<output>6</output>
6 and &lt;2&gt; is the sum of all integers from 1 to  2*2= 
<gadget id="calculator"> 2*2</gadget>
<output>4</output>
4 --&gt; &lt;3&gt;=21 and &lt;2&gt;=10 --&gt; &lt;3&gt;*&lt;2&gt;=21*10= 
<gadget id="calculator">21*10</gadget>
<output>210</output>
210.   210nswer: 210
<result>A</result>
For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <2>*<3>?