Question

Find the common difference of AP whose $n^{th}$ term is $6n+2$.

Answer 1

Let the first term of the AP be $a$ and common difference be $d.$

$n^{th}term=6n+2\Rightarrow a+(n-1)d=6n+2\Rightarrow (a-d)+nd=2+6n\Rightarrow a-d=2,d=6\Rightarrow a=8$

Hence, the common difference is equal to $6.$