Answer :

As per given by the question,

There are given the sequence, -5, -8, -11, and -14.

Now,

For find the recursive formula,

There is need to know about the common difference.

Then,

From the given sequence, the common difference is;

[tex]\begin{gathered} -8-(-5)=-8+5 \\ =-3 \end{gathered}[/tex]

So,

here, d=-3.

Now,

The recursive formula is,

[tex]a_n=a(n-1)-3[/tex]

He

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