Answer:
4n + 1
Explanation:
The first term is 5.
Each new term is 4 plus the previous term.
Term 1 = 5
Term 2 = 5 + 4
Term 3 = 5 + 4 + 4
Term 4 = 5 + 4 + 4 + 4
Notice that for each new term, you add one 4 less than the number of the term.
In term 1, you have 5 and no 4 added.
In term 2, you add one 4 to the 5.
In term 3, you add two 4's to the 5.
In term n, you add (n - 1) 4's to the 5.
Term n = 5 + (n - 1)4
Term n = 5 + 4n - 4
Term n = 4n + 1
Answer: 4n + 1