What is the 5th term from the end of the AP 2, 7, 12, ..., 47?

Question

Philoid · Accepted Answer

Here, First term = a = 2

Common difference = d = 7 - 2 = 5

Last term = l = 47

To find:5^th term from end.

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

a_n = l - (n - 1)d

∴ 5^th term from end is:

a₅ = 47 - (5 - 1) × 5

= 47 - 20

= 27

∴ 5^th term from the end is 27.