Question 37 (i) [Case Based] - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

Question 37 (
i
)

If the first circular row has 30 seats, how many seats will be there in the 10th row?

Transcript

Question 37 [Case Based] The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one. Question 37 (i) If the first circular row has 30 seats, how many seats will be there in the 10th row? Given that
First row has 30 seats, and each succeeding row has 10 seats more than the previous one
So, this is an AP with
First term = a = 30
Common difference = d = 10
We need to find how many seats will be there in the 10th row i.e. We need to find a10
We know that
an = a + (n − 1)d
Putting n = 10, a = 30, d = 1-
a10 = 30 + (10 − 1) × 10
= 30 + 9 × 10
= 30 + 90
= 120
Thus, there are 120 seats in the 10th row

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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