Question

Write the common difference of an A.P. whose nth term is xn + y.

Answer 1

$a_n=xn+y$

Putting n = 1, we get

$a_1=x+y$

Putting n = 2, we get

$a_2=2x+y$

$a_2-a_1=2x+y-x-y$

$=x$

$\Rightarrow a_2-a_1=x$

$\therefore$ Common difference = x