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Nikolay [14]
2 years ago
8

An arithmetic sequence has this recursive formula:

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

An arithmetic sequence can be expressed as explicitly or recursively

The explicit formula of the sequence is a_n = 11 - 4n

<h3>How to determine the explicit formula</h3>

The recursive formula is given as:

a_n = a_{n -1} - 4

a_1 = 7

Substitute 2 for n in a_n = a_{n -1} - 4

a_2 =a_1 - 4

This gives

a_2 =7 - 4

a_2 =3

Calculate the common difference (d)

d = a_2 -a_1

d = 3- 7

d = -4

The explicit formula is then calculated as:

a_n = a_1 + (n - 1)d

This gives

a_n = 7+ (n - 1)*-4

Expand

a_n = 7+4 - 4n

a_n = 11 - 4n

Hence, the explicit formula of the sequence is a_n = 11 - 4n

Read more about arithmetic sequence at:

brainly.com/question/6561461

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