Question

The n^th term of an A.P. 5, 2, -1, -4, -7 … is ______.

Options

• 2n + 5

• 2n - 5

• 8 - 3n

• 3n - 8

Answer 1

The n^th term of an A.P. 5, 2, -1, -4, -7 … is 8 - 3n.

Explanation:-

Here a = 5, d = 2 – 5 = -3

a_n = a + (n - 1)d

= 5 + (n - 1)(-3)

= 5 - 3n + 3

= 8 - 3n