1.

A sequence , a , ax , `ax^(2), "……" ax^(n)` , has odd number of terms . Find its median . (a) `ax^(n-1)` (b) `ax^((n//2) - 1)` (c) `ax^(n//2)` (d) `ax^((n//2) + 1)`

Answer» `a , ax , ax^(2) , ax^(3) , "….." , ax^(n)`
As there are odd number of terms , the median is :
`(( n + 1+ 1)/(2))` th term is `((n+2)/(2))` th term
Median = `a (x^(((n+2)//2)-1)) = a* x^(n//2)`


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