Sum of certain consecutive odd positive intergers is `57^2 -13^2`
The greatest interger is

Options

A. a=0
B. common ifferecnce of A.P must be 2 b
C. common difference of A.P must 2c
D. first term of A.P is b+c

Answer

A, C, D

Explanation

`S_(n)=n/2[2a'+(n-1)d]=a+bn+cn^(2)`
`rArrna'+(n(n-1))/2d=a+bn+cn^(2)`
`rArr(a'-d/2)n+(n^(2)d)/2=a+bn+cn^(2)`
On comparing,
a=0,b=a'-`d/2,c=d/2rArrd=2c`