Question

Find the sum of the first 20^th arithmetic progression, first term is 22 and the common difference is 11.
1. 2530
2. 2240
3. 2260
4. 2630

Answer 1

Correct Answer - Option 1 : 2530

Given:

First term is 22 and the common difference is 11.

Formula used:

Sum of n terms = (n/2)[2a + (n - 1) × d]

Calculation:

Apply the above formula

⇒ (20/2)[2 × 22 + (20 - 1) × 11]

⇒ 10[44 + 209]

⇒ 10 × 253

⇒ 2530

∴ The sum of the first 20^th Arithmetic Progression is 2530