# Ex 5.2, 1 - Chapter 5 Class 10 Arithmetic Progressions

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

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

Chapter 5 Class 10 Arithmetic Progressions

Serial order wise

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.