Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
Where n is the term, aβ is the first term, and d is the common difference.
We want to find the 21st term, we know the first term is -6, and the common difference is 4.
Substitute the values into the formula.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve inside the parentheses.
Multiply 20 and 4.
Add -6 and 80.
The 21st term of the sequence is 74