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An arithmetic sequence has this recursive formula:
a1= 5

an= an-1-4

An Arithmetic Sequence Has This Recursive Formula A1 5 An An14 class=

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The explicit formula for the sequence is an = 5 + (n - 1)(-4)

Explicit rule of a sequence

The formula for calculating the nth term of an arithmetic sequence is expressed as:

an = a + (n - 1)d

where

a is the first term

d is the common difference

n is the number of terms

From the given data

a = 5

a2 = a1 - 4

a2 = 5 - 4

a2. = 1

d = a2 - a

d = 1 - 5

d = -4

Substitute

an = 5 + (n - 1)(-4)

Hence the explicit formula for the sequence is an = 5 + (n - 1)(-4)

Learn more on nth term of an AP here: https://brainly.com/question/19296260

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