If M equals the sum of the odd integers from 1 to 111, inclusive, and T equals the sum of the even integers from 2 to 50, inclusive, what is the value of M + T?  Choose the correct choice from the following answers:
A) 400
B) 5550
C) 6922
D) 3786
E) 5553
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 = [(111 - 1)/2] + 1= 56 and [(50-2)/2]+ 1 (111 - 1)/2  + 1= 
<gadget id="calculator">(111 - 1)/2  + 1</gadget>
<output>56</output>
56 and [(50-2)/2]+ 1 = 25   Mean of integers (50-2)/2 + 1= 
<gadget id="calculator">(50-2)/2 + 1</gadget>
<output>25</output>
25   Mean of integers= (111 + 1)/2= 
<gadget id="calculator">(111 + 1)/2</gadget>
<output>56</output>
56 and   (50 + 2)/2= 
<gadget id="calculator">  (50 + 2)/2</gadget>
<output>26</output>
26   Sum of integers= (56*56)= 
<gadget id="calculator">(56*56)</gadget>
<output>3_136</output>
3136 and   (25*26)= 
<gadget id="calculator">  (25*26)</gadget>
<output>650</output>
650   Thus their sum (M + T)= 3786   ANSWER:3786
<result>D</result>
If M equals the sum of the odd integers from 1 to 111, inclusive, and T equals the sum of the even integers from 2 to 50, inclusive, what is the value of M + T?