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Ex 5.1, 3 - For the A.P.s, write first term and common - Checking if AP or not and finding a, d

  1. Chapter 5 Class 10 Arithmetic Progressions
  2. Serial order wise
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Ex 5.1 ,3 For the following A.P.s, write the first term and the common difference. (i) 3, 1, − 1, − 3 … 3, 1, – 1, – 3… First term = a = 3 Common difference = d = Difference between 2 consecutive terms = Second term – First Term = 1 – 3 = – 2 Hence , a = 3 , d = – 2 Ex 5.1 ,3 For the following A.P.s, write the first term and the common difference. (ii) − 5, − 1, 3, 7 … – 5, – 1, 3, 7,… First term = – 5 Common difference = d = difference between 2 consecutive term = Difference between second and first term = – 1 – ( – 5) = – 1 + 5 = 4 Hence, a = – 5 & d = 4 Ex 5.1 ,3 For the following A.P.s, write the first term and the common difference. (iii) 1/3, 5/3, 9/3 , 13/3 1/3 , 5/3 , 9/3 , 13/3 First term of AP = a = 1/3 Common difference = d = Difference of 2 consecutive terms = Difference of second and first term = 5/3 – 1/3 = (5 − 1)/3 = 4/3 Hence, a = 1/3 , d = 4/3 Ex 5.1 ,3 For the following A.P.s, write the first term and the common difference. (iv) 0.6, 1.7, 2.8, 3.9 … 0.6, 1.7, 2.8, 3.9,… First term of AP = a = 0.6 Common difference = d = Difference of 2 consecutive terms = Difference of second and first term = 1.7 – 0.6 = 1.1 Hence, a = 0.6 & d = 1.1

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