Question

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

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{have}: \\ {a}_n=xn+y \\ \therefore a_1=x+y \\ {a}_2=2x+y \end{gathered}$$
Common difference of an A.P., d = $a_2-a_1$
$$\begin{gathered} \Rightarrow \left(2x+y\right)-\left(x+y\right) \\ \Rightarrow x \end{gathered}$$