Question 36 (ii) - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

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Question 36 [Case Based] Ms. Sheela visited a store near her house and found that the glass jars are arranged one above the other in a specific pattern. On the top layer there are 3 jars. In the next layer there are 6 jars. In the 3rd layer from the top there are 9 jars and so on till the 8th layer. The jars look like Question 36 (ii) (ii) Is it possible to arrange 34 jars in a layer if this pattern is continued? Justify your answer.Now, AP is 3, 6, 9, …. upto 8 terms We need to check if 34 is a term in AP or not Let an = 34, and we find value of n Now, an = 34 a + (n − 1)d = 34 Putting a = 3, d = 3 3 + (n − 1) × 3 = 34 3 + 3n − 3 = 34 3n = 34 n = 𝟑𝟒/𝟑 n = 11.33 Since n is number of terms, it cannot be in decimals. ∴ 34 is not a term of AP So, we can sat that It is not possible to arrange 34 jars in a layer

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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 and Computer Science at Teachoo

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