

CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at Dec. 13, 2024 by Teachoo
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