What is 20th term from the end of the AP 3, 8, 13, ..., 253?
Here, First term = a = 3
Common difference = d = 8 - 3 = 5
Last term = l = 253
To find: 20th term from end.
So, nth term from end is given by:
an = l - (n - 1)d
∴ 20th term from end is:
a20 = 253 - (20 - 1) × 5
= 253 - 95
= 158
∴ 20th term from the end is 158.