CBSE Class 10 Maths (Basic) 2023 · Paper 430/1/1 · Question 36

Arithmetic Progressions 4 marks Medium

Aahana, being a plant lover, decides to convert her balcony into a beautiful garden full of plants. She bought few plants with pots for her balcony. She placed the pots in such a way that the number of pots in the first row is

2

, second row is

5

, third row is

8

, and so on. Based on the above information, answer the following questions.

(i)Find the number of pots placed in the $1 0^{t h}$ row.[1]
(ii)Find the difference in the number of pots placed in the $5^{t h}$ row and the $2^{n d}$ row.[1]
(iii)If Aahana wants to place $100$ pots in total, then find the total number of rows formed in the arrangement.[2]
(iii OR)If Aahana has sufficient space for $12$ rows, then how many total pots are placed by her with the same arrangement?[2]

Answer

(i)

29

pots; (ii) Difference

9

; (iii)

8

rows; (iii OR)

222

pots.

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From the board paper

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CBSE Class 10 Maths (Basic) 2023 · Paper 430/1/1 · Question 36

Answer

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