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      Question

      The difference between the 7th and

      2nd term of an Arithmetical Progression is 20 and its third term is ‘9’. Then find the total number of terms in the series if sum of series is 120.
      A 10 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer

      Solution

      Given, a + 2d = 9 .................(i) (a+6d) – (a + d) = 20 5d = 20 d = 4 Put the value of ‘d’ in equation (i), we get a + 8 = 9 a = 1 Now, 120 = n/2 (2+(n-1)4) 120 = n/2 (4n-2) On solving, n = 8

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