An arithmetic sequence has this recursive formula: what is the explicit formula for this sequence? a. an = (–1) + (n – 7)(–4)

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.

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 ,.

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step-by-step explanation:

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb