Identity is scoped to a single table, is part of the table definition (DDL) and is reset on a truncate. Identity is unique within the table. Each table has its own identity value when configured and cannot be shared across tables. In general usage, the "next" value is consumed by SQL Server when an Insert occurs on the table.+
Sequence is a first class object, scoped to the database. The "next" value is consumed when the Sequence is used (NEXT VALUE FOR).
Sequences are most effectively used when you need a person readable unique identifier stored across multiple tables. For example a ticketing system that stores ticket types in different tables may use a sequence to ensure no ticket receives the same number, regardless of the table in which it is stored, and that a person can reasonably refer to the number (not GUID).
In data warehousing, the dimension table needs a row identifier unique within the table. In general, the OLTP primary key is not sufficient as it may be duplicated within the dimension table depending on the type of dimension, and you don't want to risk assigning additional context to the OLTP PK as that can cause challenges when the source data changes. The dimension row identifier should only have meaning to the non-measure fact columns associated with it. Fact columns are not joined across different dimensions.++
Since the scope of the dimension table identifier is limited to the dimension table, an identity key is the ideal row identifier. It is simple to create, compact to store, and is meaningless outside the dimension. You won't use the dimension identity on a report. (Really, please don't be that developer.)
+ Its rare you'll need to know the next value without needing to assign to a row. Might be a red flag if you are trying to manipulate the identity value prior to assignment
++ a dimension view may union different tables to feed the OLAP cube, in which case a persistent repeatable key should be generated from the underlying data, usually by concatenating a string literal with each table key in a normalized format.