If a, b, c, d, e, f are in A.P.,then the valu | vedclass

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(C) Given that $a, b, c, d, e, f$ are in $A.P.$ with common difference $K$.By the definition of $A.P.$,we have:$d - c = K$ and $e - d = K$.Therefore,$

Vedclass · Accepted Answer

$2(d - c)$

Vedclass · Answer

(C) Given that $a, b, c, d, e, f$ are in $A.P.$ with common difference $K$.By the definition of $A.P.$,we have:$d - c = K$ and $e - d = K$.Therefore,$e - c = (e - d) + (d - c) = K + K = 2K$.Since $K = d - c$,we can write:$e - c = 2(d - c)$.Alternatively,using values: Let $a=1, b=2, c=3, d=4, e=5, f=6$.Then $e - c = 5 - 3 = 2$.Checking the options:$2(d - c) = 2(4 - 3) = 2(1) = 2$.Thus,the correct option is $C$.

If $a, b, c, d, e, f$ are in $A.P.$,then the value of $e - c$ is

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