Ex 5.2, 6 - Check whether -150 is a term of AP 11, 8, 5, 2

Ex 5.2, 6 - Chapter 5 Class 10 Arithmetic Progressions - Part 2

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Ex 5.2, 6 Check whether − 150 is a term of the A.P. 11, 8, 5, 2, … Given AP 11, 8, 5, 2, …. We need to check whether –150 is a term of AP Lets assume it is nth term of AP So, an = –150 Also, a = 11, d = 8 – 11 = –3 Now, an = a + (n – 1) d Putting values –150 = 11 + (n – 1) × (–3) –150 = 11 + n (−3) – 1 × (–3) –150 = 11 – 3n + 3 –150 = 14 – 3n –150 – 14 = – 3n –164 = – 3n (−164)/(−3) = n 164/3 = n 54.33 = n n = 54.33 Since n is coming in decimal Hence, –150 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo