If `a, b,c` and `d` are distinct positive no in AP. then

Options

A. (a) `ad lt bc`
B. (b) `a+c = b+d`
C. (c) `a+d=2(b+c)`
D. (D) `a+d=3(b+c)`

Answer

(b) `a+c = b+d`

Explanation

Given,


`a, b, c` and `d` are in AP


Arithmetic mean relation:


`2b=a+c`` \ \ \ \ ...(1)`


`2c=b+d`` \ \ \ \ ...(2)`


Adding both equations `(1)` and `(2)`


`2b+2c=a+b+c+d`


`b+c=a+d`


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