Find the nth term of each of the following AP’s: 16, 9, 2, - 5, ...

Question

Philoid · Accepted Answer

Here, First term = a = 16

Common difference = d = 9 - 16 = - 7

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 = 16 + (n - 1) × (-7)

⇒ a_n = 16 - 7n + 7 = 23 - 7n

∴ n^th term of the given AP is (23 - 7n).