Question

what is the common difference of an AP in which a12-a18=24​

Answer 1

Answer:

Let the common difference of an A.P. be d.

Then,

a

18

=a

1

+17×d

a

14

=a

1

+13×d

Solving the two equations,

a

18

−a

14

=a

1

+17d−a

1

−13d

⇒a

18

−a

14

=4d

Substituting 4d=32,

⇒d=8