Respuesta :
The explicit formula for the given sequence is a(n) = 1 + 4(n - 1).
What is termed as recursive definition?
A recursive function is one that iterates or uses its very own previous term to determine subsequent terms, resulting in a series of terms.
The recursive formula for an arithmetic sequence is as follows.
a(1) = 1 and a(n) = a(n - 1) + 4.
Remember that this formula provides us with two types of data.
- 1 is the first term.
- Add 4 to obtain any term out of its previous term. To put it another way, this same common difference is 4.
Let's look for a formal formula again for sequence.
- Remember that we can use the standard explicit form to represent a sequence in which the first term is A & common difference is B: A + B(n - 1).
- As a result, the sequence's explicit formula is a(n) = 1 + 4(n - 1).
Thus, by the use of recursive definition, the explicit formula for the sequence is a(n) = 1 + 4(n - 1).
To know more about the explicit formula, here
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