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CBSE Class 10 Maths (Basic) 2024 · Paper 430/3/1 · Question 36

Arithmetic Progressions 4 marks Very hard
While preparing for a competitive examination, Akbar came across a match-stick pattern based question. The pattern is given below. Based on the above information, answer the following questions :
  1. (i)Write first term and common difference of the A.P. formed by number of squares in each figure.
  2. (ii)Write first term and common difference of the A.P. formed by number of sticks used in each figure. (iii)(a) How many squares are there in Fig. (10)? Also, write the number of sticks used in Fig. (10). OR (iii)(b) If 88 sticks are used to make figure (Fig. (m)), find the value of . How many squares are formed in this figure?
Fig.(1) Fig.(2) Fig.(3)
Matchstick square patterns for Fig.(1), Fig.(2), Fig.(3)
  1. (i)Write first term and common difference of the A.P. formed by number of squares in each figure.[1]
  2. (ii)Write first term and common difference of the A.P. formed by number of sticks used in each figure.[1]
  3. (iii)(a)How many squares are there in Fig. (10)? Also, write the number of sticks used in Fig. (10).[2]
  4. (iii)(b)If 88 sticks are used to make figure, find . How many squares are formed in this figure?[2]

Answer

(i) First term , common difference ; (ii) First term , common difference ; (iii)(a) Fig. (10) has squares and uses sticks; (iii)(b) , and Fig. (8) has squares.

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