Find the eleventh term from the last of the AP: 27, 23, 19, ...,-65

The 11th from last term is the 11th term of the reverse series, so rewrite in reverse order:

- 65, ... 19, 23, 27

the common difference is 4 (19 - 23)

nth term = a + (n - 1) d

so the 11th term

= - 65 + (11 - 1) * 4

= - 65 + 10 Ă - 4 = - 65 + 40

= - 25

So the 11th from last term is - 25