Find the 6th term from the end of the AP 17, 14, 11, ..., (-40).
Here, First term = a = 17
Common difference = d = 14 - 17 = - 3
Last term = l = - 40
To find: 6th term from end.
So, nth term from end is given by:
an = l - (n - 1)d
∴ 6th term from end is:
a6 = - 40 - (6 - 1) × (-3)
= - 40 + 15
= - 25