    Question

# In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the students.

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Solution

## According to the question , there are two sections of each class so the number of trees that are planted by students of class I, class II, class III, …..& class XII are:Number of trees planted by the students of two sections of class I=2×2=4Number of trees planted by the students of two sections of class II=2×4=8Similarly,Number of trees planted by the students of two sections of class 3=2×6=12Number of trees planted by the students of two sections of class12=2×24=48So, the number of trees planted by the students of two sections of different classes are4,8,12,……48This series forms an APHere,first term(a)=4, common Difference (d)=8–4=4, last term (l)=48 and (number of terms)n=12Number of trees planted by the students =sum of 12 terms of above APSn=n2[a+l],Sn=122[4+48],Sn=6×52=312,Hence, the total number of trees planted by the students is 312.  Suggest Corrections  0      Related Videos   Arithmetic Progression - Sum of n Terms
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