the students were planting saplings in the school field
Answers
Answer:
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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Explanation:
Answer:
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=4
Number of trees planted by the students of two sections of class II=2×4=8
Similarly,
Number of trees planted by the students of two sections of class 3=2×6=12
Number of trees planted by the students of two sections of class12=2×24=48
So, the number of trees planted by the students of two sections of different classes are4,8,12,……48
This series forms an AP
Here,first term(a)=4, common Difference (d)=8–4=4, last term (l)=48 and (number of terms)n=12
Number of trees planted by the students =sum of 12 terms of above AP
Sn= 2n[a+l],
Sn= [4+48],
Sn =6×52=312,
Hence, the total number of trees planted by the students is 312.