Question

The 11^th term of the AP: `-5, (-5)/2, 0, 5/2`, .... is ______.

Options

• –20

• 20

• –30

• 30

Answer 1

The 11^th term of the AP: `-5, (-5)/2, 0, 5/2`, .... is 20.

Explanation:

First term, a = – 5

Common difference,

d = `5 - (-5/2) = 5/2`

n = 11

We know that the n^th term of an AP is

a_{n =} a + (n – 1)d

Where,

a = First term

a_n is n^th term

d is the common difference

a_{11 =} `- 5 + (11 - 1)(5/2)`

a_{11 =} – 5 + 25 = 20