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

  1. Chapter 5 Class 10 Arithmetic Progressions
  2. Serial order wise
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Ex 5.2 ,6 Check whether − 150 is a term of the A.P. 11, 8, 5, 2, … AP is 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 term of AP

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