Example 6 - Check whether 301 is a term of 5, 11, 17, 23,

Example 6 - Chapter 5 Class 10 Arithmetic Progressions - Part 2

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Example 6 Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . . Given A.P. 5, 11, 17, 23, ………. We need to cheek whether 301 is a term of AP Lets assume it is nth term of AP So, an = 301 Also, a = 5 & d = 11 – 5 = 6 Now, an = a + (n – 1) d Putting values 301 = 5 + (n – 1) 6 301 = 5 + 6n – 6 301 = 6n – 1 6n = 301 + 1 6n = 302 n = 302/6 n = 50.3 Since n is coming in decimal. Hence it is not a term of AP

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.