NTA Abhyas JEE Main2020MathematicsSequences and SeriesPractice
If 17 arithmetic means are inserted between 7 2 and - 83 2 , then the 17 t h arithmetic mean is
Options
- A- 19
- B- 29
- C- 39
- D- 49
Correct answer
C. - 39
Step-by-step solution
Let d be the common difference. Then d = - 83 2 - 7 2 18 = - 5 2 So, the 17 t h mean is given by - 83 2 - - 5 2 = - 83 2 + 5 2 = - 78 2 = - 39