Let \({2}^{\text{nd }},{8}^{\text{th }}\) and \({44}^{\text{th }}\) terms of a non-constant A. P. be respectively the \(…

Let \({2}^{\text{nd }},{8}^{\text{th }}\) and \({44}^{\text{th }}\) terms of a non-constant A. P. be respectively the \({1}^{\text{st }},{2}^{\text{nd }}\) and\({3}^{\text{rd }}\) terms of a G. P. If the first term of the A. P. is 1 , then the sum of its first 20 terms is equal to -

[JEE Main 2024, 31 Jan (Shift 2)]