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

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Example 6 Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . . A.P. is 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 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.