Question

14. in school students decided to plant trees in and around the helt
air pollution. It was decided that the number of trees that each with
class will plant, will be double of the class in which they are the
1 to 12 classes in the school and each class has
two sections.find how were trees planted by the students.​

Answer 1

Here you go...

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 class 12 = 2 × 24 = 48

So, the number of trees planted by the students of two sections of different classes are 4, 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 = n/2[a + l ],

Sn = 12/2[ 4 + 48]

Sn = 6 × 52 = 312

Hence, the total number of trees planted by the students is 312.

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Answer 2

Answer:

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