B= 1 - 3/4 + (3/4) ^ 2 - (3/4) ^ 3 + (3/4) ^ 4 -...-( 3 4 )^ 2023 +( 3 4 )^ 2024 .

Đáp án`+`Giải thích các bước giải:

`B = 1 - 3/4 + (3/4)^2 - (3/4)^3 + ... + (3/4)^2024`

`3/4 . B = 3/4 - (3/4)^2 + (3/4)^3 - (3/4)^4 + ... + (3/4)^2025`

`3/4 . B + B = (3/4 - (3/4)^2 + (3/4)^3 - (3/4)^4 + ... + (3/4)^2025) + (1 - 3/4 + (3/4)^2 - (3/4)^3 + ... + (3/4)^2024)`

`7/4 . B = 1 + (3/4)^2025`

`B = (4 + 4 . (3/4)^2025)/7`

Vậy `B = (4 + 4 . (3/4)^2025)/7`

$\color{#1c1c1c}{\text{G}}$$\color{#2a2043}{\text{o}}$$\color{#291063}
{\text{d}}$$\color{#53008}{\text{M}}$$\color{#6b28ac}
{\text{a}}$$\color{#8c4ebd}{\text{t}}$$\color{#B592D6}
{\text{h}}$$\color{#ceaedf}{\text{s}}$