The third and fifth terms of an a.p are x+y respectively. find the 12th term.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Let a1, a2, a3, ...., an is an A.P

a1 = a1

a2= a1 + r

a3 = a2 + r = x.........(1)

a4 = a3 + r = y........(2)

Now we  thet a4 -a3 = r

==> r = y-x

a12 = a1 + 11r = a2 + 10r =...

See
This Answer Now

Start your subscription to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your Subscription

Let a1, a2, a3, ...., an is an A.P

a1 = a1

a2= a1 + r

a3 = a2 + r = x.........(1)

a4 = a3 + r = y........(2)

Now we  thet a4 -a3 = r

==> r = y-x

a12 = a1 + 11r = a2 + 10r = a3 + 9r

==> a12 = x + 9*(y-x)

==> a12 = x + 9y - 9x

==> a12 = 9y - 8x

Approved by eNotes Editorial Team