An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an = (–1) + (n – 7)(–4)
2 answers:
Answer:
The explicit formula of the given sequence

Step-by-step explanation:
Given A sequence is in an arthmetic progression
The recursive formula

Recursive formula:It is the formula to find the value of
term (
) of the sequence when
term of the sequence is known .
Explicit formula:It is the formula to find the value of any term of the sequence when
term is known.

By simplification

By simplification
Hence, the explicit formula ,
.
bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.

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