NDA2021MathematicsSequences and SeriesActual
What is the mean of natural numbers contained in the interval [15,64] ?
Options
- A36.8
- B38.3
- C39.5
- D40.3
Correct answer
C. 39.5
Step-by-step solution
Natural numbers contained between [15,64] numbers: 15,16,17 , 64 T_n=a+(n-1) d64=15(n-1) 1n-1=64-15n=50 gathered S_n= n 2 [a+l]= 50 2 [15+64] S_n=1975 gathered Mean of the Numbers, aligned & x = x_i n = S_n n = 1975 50 & x =39.5 aligned