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write the first five terms of the geometric sequence with the given 1st term and the common ratio.
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hi can someone please answer my question i really need the complete step-by-step solution thank you ❤️​

write the first five terms of the geometric sequence with the given 1st term and the common ratiohi can someone please answer my question i really need the comp class=

Respuesta :

  • a=3
  • r=-1/2

Note the rule

[tex]\boxed{\sf a_n=ar^{n-1}}[/tex]

Now

[tex]\\ \tt\longmapsto a_2=3(-1/2)^{2-1}=3(-1/2)=-3/2[/tex]

[tex]\\ \tt\longmapsto a_3=3(-1/2)^{3-1}=3(-1/2)^2=-3/4[/tex]

[tex]\\ \tt\longmapsto a_4=3(-1/2)^{4-1}=3(-1/2)^3=-3/8[/tex]

[tex]\\ \tt\longmapsto a_5=3(-1/2)^{5-1}=3(-1/2)^4=-3/16[/tex]

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