Answered

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Question 1 (3 points)
The recursive rule for a sequence is shown.
an = An-1 +4
a1
= 14
Write the explicit rule in simplified form for the sequence.
an
=

Question 1 3 Points The Recursive Rule For A Sequence Is Shown An An1 4 A1 14 Write The Explicit Rule In Simplified Form For The Sequence An class=

Sagot :

Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

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