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For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include all of your work.
{-4, 12, -36,...}

Respuesta :

devishri1977

Answer:

-324

Step-by-step explanation:

common ratio (r) = 2nd term/1st term = 12/-4 = -3

[tex]a_{n}=a_{n-1}*(-3)\\a_{4}=a_{3}*(-3)\\\\ = -36*(-3)\\\\ = 108[/tex]

[tex]\bf a_{5}=a_{4}*(-3)\\\\[/tex]

     [tex]= \bf 108 *(-3)\\\\= -324[/tex]

Tundra9

Answer:

The fifth term is -324 because the common ration is -3 and you multiply that to each of the numbers to get to the fifth term which is -324

-4*-3 = 12

12*-3 = -36

-36*-3 = 108

108*-3 = -324

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