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CBSE Class 10 Maths (Basic) 2022 · Paper 430/1/1 · Question 13

Arithmetic Progressions 4 marks Medium
Do you know old clothes which are thrown as waste not only fill the landfill site but also produce very harmful greenhouse gas. So, it is very important that we reuse old clothes in whatever way we can. The picture given shows a footmat (rug) made out of old t-shirts yarn. Observing the picture, you will notice that number of stitches in circular rows are making a pattern: 6, 12, 18, 24, ... Based on the above information, answer the following questions using AP.
  1. aCheck whether the given pattern forms an AP. If yes, find the common difference and the next term of the AP.[2]
  2. bWrite the n-th term of the AP. Hence, find the number of stitches in the 10th circular row.[2]

Answer

(a) Yes, it is an AP with ; next term . (b) , so the 10th row has stitches.

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