the sum of the first 50 positive even integers is 2550. what is the sum q of even integers from 102 to 200 inclusive? Choose the correct choice from the following answers.
A) 5100
B) 7550
C) 10100
D) 15500
E) 20100
<gadget id="calculator">200 + 102</gadget>
<output>302</output>

<gadget id="calculator">302 / 2</gadget>
<output>151</output>

<gadget id="calculator">200 - 102</gadget>
<output>98</output>

<gadget id="calculator">98 / 2</gadget>
<output>49</output>

<gadget id="calculator">49 + 1</gadget>
<output>50</output>

<gadget id="calculator">151 * 50</gadget>
<output>7_550</output>

<result>B</result>
the sum of the first 50 positive even integers is 2550. what is the sum q of even integers from 102 to 200 inclusive?
multiply(divide(add(200, 102), const_2), add(divide(subtract(200, 102), const_2), const_1))
"my solution is : first 50 even integers : 2 4 6 8 < . . . > integers from 102 to 200 102 104 106 108 < . . . > we notice that each integer from the second set is 100 more than the respective integer in the first set . since we have 50 even integers from 102 to 200 , then : q = 2550 + ( 100 * 50 ) = 7550 . b"