Ex 5.2, 5 - Find number of terms in AP (i) 7, 13, 19, .. 205

Ex 5.2, 5 - Chapter 5 Class 10 Arithmetic Progressions - Part 2

 

Go Ad-free

Transcript

Ex 5.2, 5 Find the number of terms in the following AP (i) 7, 13, 19, …, 205 Given AP 7, 13, 19, … 205 Here, a = 7 d = 13 – 7 = 6 an = 205 We need to find n an = a + (n – 1) d 205 = 7 + (n – 1) × 6 205 – 7 = (n – 1) × 6 198 = (n – 1) × 6 198/6 = n – 1 33 = n – 1 33 + 1 = n 34 = n n = 34 Hence, there are 34 terms in the given AP

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo