MakaelahM207691 MakaelahM207691
  • 03-11-2022
  • Mathematics
contestada

-3, -6, 12, -24,..... Recursive Formula an = an -1 -48an = an -1 . 2an = an -1 - 12an = - 3 . 2n -1

Respuesta :

IlaiS680843 IlaiS680843
  • 03-11-2022

Answer:

The recursive formula is;

[tex]a_n=a_{n-1}\cdot2[/tex]

Explanation:

The recursive formula for geometric progression can be written as;

[tex]a_n=a_{n-1}\cdot r[/tex]

where r is the common difference.

Let us find the common difference of the given sequence;

[tex]-3,-6,-12,-24,\ldots[/tex][tex]\begin{gathered} r=\frac{-6}{-3}=\frac{-12}{-6} \\ r=2 \end{gathered}[/tex]

we can now substitute the value of r into the recursive formula;

[tex]a_n=a_{n-1}\cdot2[/tex]

Therefore, the recursive formula is;

[tex]a_n=a_{n-1}\cdot2[/tex]

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