group of students go to the orchard to pick apples. The first student to enter the orchard picks 1 apple, the second student picks 2 apples, the third student picks 3 apples... and so on, the students behind him are all better than those in front of him The students pick 1 more apple, so that this team of students just picks all the apples in the orchard, and finally each student picks 6 apples on average. How many students are in this team?
一队学生去果园摘苹果，第一个进果园的学生摘1个苹果，第二个学生摘2个苹果，第三个学生摘3个苹果…依此类推，后面的学生都比他前面的学生多摘1个苹果，这样恰好这队学生把果园的苹果摘完，最后平均每个学生摘6个苹果，这队学生多少人？
<gadget id="calculator">5 * 6 * 2</gadget>
<output>60</output>

<gadget id="calculator">60 + 6</gadget>
<output>66</output>

<gadget id="calculator">66 / 6</gadget>
<output>11</output>

<result>11</result>