Find the nth term of each of the following AP’s: 5, 11, 17, 23, ...

Question

Philoid · Accepted Answer

Here, First term = a = 5

Common difference = d = 11 - 5 = 6

To find = n^th term

Using the formula for finding n^th term of an A.P.,

a_n = a + (n - 1) × d

∴ a_n = 5 + (n - 1) × 6

⇒ a_n = 5 + 6n - 6 = 6n - 1

∴ n^th term of the given AP is (6n - 1).