`B` `=` `3` `+` $3^{2}$ `+` $3^{3}$ `+...+` $3^{2021}$
`3B` `=` $3^{2}$ `+` $3^{3}$ `+` $3^{4}$ `+...+` $3^{2022}$
`3B-B` `=` `(` $3^{2}$ `+` $3^{3}$ `+...+` $3^{2022}$`)-(3` `+` $3^{2}$ `+...+` $3^{2021}$`)`
`2B` `=` $3^{2022}$ `-` `3`
`B` `=` $\dfrac{3^{2022}-3}{2}$
Vậy `B=` $\dfrac{3^{2022}-3}{2}$