Question 36 (iii) (B)
(iii) (B) The shopkeeper added 3 jars in each layer. How many jars are there in the 5th layer from the top?
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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 (iii) (B) (iii) (B) The shopkeeper added 3 jars in each layer. How many jars are there in the 5th layer from the top?Previous AP was 3, 6, 9, …. After adding 3 jars in each layer, AP is 3 + 3, 6 + 3, 9 + 3, …. 6, 9, 12,…. So, First term = a = 6 Common difference = d = 9 − 6 = 3 We need to find how many jars are there in 5th layer from top i.e. we need to find a5 Now, an = a + (n − 1)d Putting n = 5, a = 6, d = 3 = 6 + (5 − 1) × 3 = 6 + 4 × 3 = 6 +12 = 18 Thus, there are 18 jars in the 5th layer