$a, b, c, d, e$ are in $A . P$ . Prove the following results
$a - b + c - d = 0$

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Solution

Given,

$a, b, c, d, e$ are in A.P.

$\Rightarrow b - a = c - b = d - c = e - d$

$b - a = c - d$

$\Rightarrow a - b = d - c$

$∴ a - b + c - d = 0$

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