Ex 5.2, 1 - Fill in the blanks, given that a is first term - Finding nth term

  1. Chapter 5 Class 10 Arithmetic Progressions
  2. Serial order wise
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Ex 5.2 ,1 Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P. (i) Here, a = 7 , d = 3 , n = 8 Now, an = a + (n 1) d Putting values = 7 + (8 1) 3 = 7 + 7 3 = 7 + 21 = 28 Ex 5.2 ,1 Fill in the blanks in the following table, given that a is the first term, d the common difference and anthe nth term of the A.P. (ii) Here, a = 18 , n = 10 , an = 0 an = a + (n 1) d Putting values 0 = 18 + (10 1) d 0 = 18 + (9) d 0 + 18 = 9d 18/9 = d 2 = d d = 2 Ex 5.2 ,1 Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P. (iii) Here, d = 3 , n = 18 , an = 5 Now, an = a + (n 1) d Putting values 5 = a + (18 1) 3 5 = a + 17 3 5 = a 51 5 + 51 = a 46 = a a = 46 Ex 5.2 ,1 Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P. (iv) Here, a = 18.9, d = 2.5 , an = 3.6 Now, an = a + (n 1) d Putting values 3.6 = 18.9 + (n 1) 2.5 3.6 = 18.9 + 2.5 n 2.5 3.6 = 21.4 + 2.5 n 3.6 + 21.4 = 2.5 n 25 = 2.5 n 25/2.5 = n 10 = n n = 10 Ex 5.2 ,1 Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P. (v) Given a = 3.5, d = 0 , n = 105 Now, an = a + (n 1) d Putting values = 3.5 + (105 1) 0 = 3.5 + 104 0 = 3.5 + 0 = 3.5 Hence, an = 3.5

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