Choose the correct choice in the following and justify :

11th term of the A.P. : -3, $-\dfrac{1}{2}$, 2, ….., is

1. 28

2. 22

3. -38

4. $-48\dfrac{1}{2}$

Given,

A.P. : -3, $-\dfrac{1}{2}$, 2, …..,

First term (a) = -3 and common difference (d) = $-\dfrac{1}{2} - (-3) = -\dfrac{1}{2} + 3 = 2\dfrac{1}{2}$ = 2.5

By formula,

a_n = a + (n - 1)d

Substituting values we get :

a₁₁ = -3 + (11 - 1) × 2.5

= -3 + 10 × 2.5

= -3 + 25

= 22.

Hence, Option 2 is the correct option.