Write the common difference of an A.P. whose nth term is xn + y.
We have:
$a_{n}=x n+y$
$\therefore a_{1}=x+y$
$a_{2}=2 x+y$
Common difference of an A.P., $d=a_{2}-a_{1}$
$\Rightarrow(2 x+y)-(x+y)$
$\Rightarrow x$
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