Question

In the arithmetic progression series 11, 16, 21, ___________, what will be the 20^th term?
1. 104
2. 106
3. 108
4. 110

Answer 1

Correct Answer - Option 2 : 106

Given:

AP series: 11, 16, 21, ___________20^th term

Formula used:

T_n = a + (n – 1)d

Where, a = first term and d = common difference

Calculation:

Here, a = 11, d = (16 – 11) = 5 and n = 20

T_n = a + (n – 1)d

⇒ T₂₀ = 11 + (20 – 1) × 5

⇒ T₂₀ = 11 + 95

⇒ T₂₀ = 106

∴ The 20^th term will be 106