Find the average of first 97 natural numbers

Solution(By ExamCraze Team)

1^st Method:
Average of 1^st n natural number is given by
$$ = frac{{ {frac{{ {{text{n}} times left( {{text{n}} + 1} right)} }}{2}} }}{{text{n}}}$$
Average of 1^st 97 natural number is given by
$$eqalign{ & {frac{{ {frac{{ {97 times left( {97 + 1} right)} }}{2}} }}{{97}}} cr & = 49 cr} $$

2^st Method:
These numbers are in AP series so average.
$$eqalign{ & = frac{{ {{text{sum of corresponding term}}} }}{2} cr & = frac{{ {1 + 97} }}{2} = 49 cr & {text{or, }}frac{{ {2 + 96} }}{2} = 49 cr & {text{or, }}frac{{ {3 + 95} }}{2} = 49 cr & {text{And so on}}{text{.}} cr} $$