Q21 of 178 Page 526

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


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