joannekhtoup5k2l3 joannekhtoup5k2l3
  • 01-04-2018
  • Mathematics
contestada

Consider the following geometric sequence. -5, 10, -20, 40,... If the recursive formula for the sequence above is expressed in the form an=b(cn-1)nwhat is b and c

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obenam obenam
  • 01-04-2018
The formula of the geometric sequence is the following :
[tex]u_n=bc^{n-1}[/tex] wherein b is the first term and c is the rate. 
From the given data we deduce the parameters:
[tex]c=\dfrac{10}{-5}=-2,b=-5[/tex] 
Therefore:
[tex]u_n=-5(-2)^{n-1}[/tex] 
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