Ex 5.1, 3 - Chapter 5 Class 10 Arithmetic Progressions

Transcript

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 & the common difference. (ii) − 5, −1, 3, 7 … –5, –1, 3, 7,… First term = –5 Common difference = d = 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 & 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 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 &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