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(B) It can be observed that the number of trees planted by the students of one section of each class forms an arithmetic progression $(AP)$.The sequen

Vedclass · Accepted Answer

$234$

Vedclass · Answer

(B) It can be observed that the number of trees planted by the students of one section of each class forms an arithmetic progression $(AP)$.The sequence is $1, 2, 3, 4, \dots, 12$.Here,the first term $a = 1$ and the common difference $d = 2 - 1 = 1$.The number of terms $n = 12$.The sum of trees planted by one section of all classes is given by the formula $S_n = \frac{n}{2}[2a + (n - 1)d]$.$S_{12} = \frac{12}{2}[2(1) + (12 - 1)(1)]$$S_{12} = 6[2 + 11]$$S_{12} = 6 	imes 13 = 78$.Since there are $3$ sections for each class,the total number of trees planted by all students is $3 	imes 78 = 234$.Therefore,the total number of trees planted by the students is $234$.

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