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An arithmetic sequence has this recursive formula:

What is the explicit formula for this sequence?

An Arithmetic Sequence Has This Recursive Formula What Is The Explicit Formula For This Sequence class=

Sagot :

Answer:

C

Step-by-step explanation:

the explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

from the recursive formula in the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d

given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 7

with d = - 7 and a₁ = 4 , then explicit formula is

[tex]a_{n}[/tex] = 4 + (n - 1)(- 7)

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