Question

if, an=3n+5 in an Ap then its common difference will be ​

Answer 1

$\boxed{\sf a_n=3n+5}$

1st term:-

$\\ \sf\longmapsto a_1$

$\\ \sf\longmapsto 3n+5$

$\\ \sf\longmapsto 3(1)+5$

$\\ \sf\longmapsto 3+5$

$\\ \sf\longmapsto 8$

2nd term:-

$\\ \sf\longmapsto a_2$

$\\ \sf\longmapsto 3(2)+5$

$\\ \sf\longmapsto 6+5$

$\\ \sf\longmapsto 11$

• Common difference=d

$\boxed{\sf d=a_2-a_1}$

$\\ \sf\longmapsto d=11-8$

$\\ \sf\longmapsto d=3$