NDA2022MathematicsSequences and SeriesActual
What is the arithmetic mean of 50 terms of an AP with first term 4 and common difference 4 ?
Options
- A50
- B51
- C100
- D102
Correct answer
D. 102
Step-by-step solution
Given a =4, ~d =4 and n =50 hence S _ n = n 2 [2 a +( x -1) d ] aligned & = 50 2 [2 4+49 4] & =50[4+98] & Now X = S_n ~h = 50 102 50 =102 aligned