Find the 6th term from the end of the AP 17, 14, 11, ..., (-40).

Question

Philoid · Accepted Answer

Here, First term = a = 17

Common difference = d = 14 - 17 = - 3

Last term = l = - 40

To find: 6^th term from end.

So, n^th term from end is given by:

a_n = l - (n - 1)d

∴ 6^th term from end is:

a₆ = - 40 - (6 - 1) × (-3)

= - 40 + 15

= - 25