If i equals the sum of the even integers from 2 to 224, inclusive, and k equals the sum of the even integers from 8 to 80, inclusive, what is the value of i - k?
Choose one:
A) 11028 B) 14172 C) 14284 D) 14015 E) 14397
Use following formulae for such problems:   Sum of evenly spaced integers = (# of integers)*(mean of integers)   # of integers = [(last - first)/2] + 1   Mean of integers = (last + first)/2   In above problem:   # of integers = [(224 - 2)/2] + 1= 112 and [(80-8)/2]+ 1 (224 - 2)/2  + 1= 
<gadget id="calculator">(224 - 2)/2  + 1</gadget>
<output>112</output>
112 and [(80-8)/2]+ 1 = 37   Mean of integers (80-8)/2 + 1= 
<gadget id="calculator">(80-8)/2 + 1</gadget>
<output>37</output>
37   Mean of integers= (224 + 2)/2= 
<gadget id="calculator">(224 + 2)/2</gadget>
<output>113</output>
113 and   (80 + 8)/2= 
<gadget id="calculator">  (80 + 8)/2</gadget>
<output>44</output>
44   Sum of integers= (112*113)= 
<gadget id="calculator">(112*113)</gadget>
<output>12_656</output>
12656 and   (37*44)= 
<gadget id="calculator">  (37*44)</gadget>
<output>1_628</output>
1628   Thus their difference (i - k)= 12656 - 1628= 
<gadget id="calculator">12656 - 1628</gadget>
<output>11_028</output>
11028   11028NSWER:11028
<result>A</result>
If i equals the sum of the even integers from 2 to 224, inclusive, and k equals the sum of the even integers from 8 to 80, inclusive, what is the value of i - k?