Final answer:
To find the closed formula for each of the given sequences, use the concept of mathematical series and the properties of exponents.
Step-by-step explanation:
To find the closed formula for each of the given sequences, we can use the concept of mathematical series and the properties of exponents.
A. F(n) = 2ⁿ: The sequence represents the powers of 2. The closed formula for this sequence is given by F(n) = 2ⁿ.
B. F(n) = n² + n: This sequence represents the sum of the square of each term and the term itself. The closed formula for this sequence is given by F(n) = n(n + 1).
C. F(n) = 3n - 1: This sequence represents the term 3n minus 1. The closed formula for this sequence is given by F(n) = 3n - 1.
D. F(n) = 4n + 5: This sequence represents the term 4n plus 5. The closed formula for this sequence is given by F(n) = 4n + 5.