Question

The fifth term of an AP is 25 and the ninth term is 37. The common difference of the AP will be ___.

Answer 1

$5^{th}term=25$
$9^{th}term=37$ If the common difference is taken as $d$ , and the first term is taken as $a$, then
$a+(5-1)d=25anda+(9-1)d=37$
$a+4d=25$ ------------- (1)
$a+8d=37$ ------------- (2)
Subtracting equation (1) from equation (2), we get
$4d=12$
$\Rightarrow d=3$