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Look at the sequence in the table. Which recursive formula represents the sequence shown?A) an = an-1 + 4C) an = 2an-1 + 3B) an = 4an-1 + 1D) an = 2an-1 - 1

Look at the sequence in the table Which recursive formula represents the sequence shownA an an1 4C an 2an1 3B an 4an1 1D an 2an1 1 class=

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Answer:

The recursive formula for the given sequence is;

[tex]a_n=a_{n-1}+4[/tex]

Explanation:

Given the sequence;

[tex]1,5,9,13,17[/tex]

The sequence above is an Arithmetic Progression AP.

Writing the recursive formula;

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

for the sequence, the common difference d is;

[tex]\begin{gathered} d=17-13=4 \\ d=4 \end{gathered}[/tex]

The recursive formula will then be;

[tex]a_n=a_{n-1}+4[/tex]

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