The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 8th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?	Choose the most appropriate option:
A) 45 B) 40 C) 35 D) 30 E) 25
1st year : 0-1 (age), we take age = 0 (as the question says that we have to(rounded down to the nearest integer))   2ndyear : 1-2 (age), we take age = 1   3rd year : 2-3 (age), we take age = 2   4th year : 3-4 (age), we take age = 3   5th year : 4-5 (age), we take age = 4   6th year : 5-6 (age), we take age = 5   7th year : 6-7 (age), we take age = 6   8th year : 7-8 (age), we take age = 7   Thus for the 3rd year = 50,   4th year = 50 -3= 
<gadget id="calculator">50 -3</gadget>
<output>47</output>
47   5th year= 47-4= 
<gadget id="calculator">47-4</gadget>
<output>43</output>
43   6th year= 43-5= 
<gadget id="calculator">43-5</gadget>
<output>38</output>
38.   7th year=38-6= 
<gadget id="calculator">38-6</gadget>
<output>32</output>
32   8th year=32-7= 
<gadget id="calculator">32-7</gadget>
<output>25</output>
25   The correct answer is 25.
<result>E</result>
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 8th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?