BeccaCarter BeccaCarter
  • 06-02-2017
  • Mathematics
contestada

Please help ASAP!!!
Find tn for the following geomertic sequance: -60,30,-15 and then find t20.

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LammettHash
LammettHash LammettHash
  • 06-02-2017
[tex]t_1=-60[/tex]
[tex]t_2=-\dfrac12\times(-60)=30[/tex]
[tex]t_3=-\dfrac12\times30=\left(-\dfrac12\right)^2\times(-60)=-15[/tex]

In general, you have

[tex]t_n=\left(-\dfrac12\right)^{n-1}\times(-60)[/tex]

and so

[tex]t_{20}=\left(-\dfrac12\right)^{19}\times(-60)=\dfrac{15}{131072}\approx0.0001144[/tex]
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