omargomez8948 omargomez8948
  • 23-05-2020
  • Mathematics
contestada

Determine the common ratio and find the next four terms of the geometric sequence. a^-6, a^-2, a^2

Respuesta :

TheLazyNobita
TheLazyNobita TheLazyNobita
  • 23-05-2020

Answer:

[tex]a = a^{-6} \\ a_1 = a^{-2 }\\ a_3 = a^2[/tex]

Common ratio(r) = [tex]\displaystyle\frac{a_2}{a_1}[/tex]

[tex]r = \displaystyle\frac{a^{-2}}{a^{-6}}[/tex]

[tex]r = a^4[/tex]

Next 4 terms :

[tex]a_4 = ar^3 = a^{-6 }× a^12 = a^6[/tex]

[tex]a_5 = ar^4 = a^{-6} × a^16 = a^10[/tex]

[tex]a_6 = ar^5 = a^{-6} × a^20 = a^14[/tex]

[tex]a_7 = ar^6 = a^{-6} × a^24 = a^18[/tex]

Answer Link

Otras preguntas

Escoge la mejor expresión para completar este diálogo corto. Select the best answer to complete this short dialogue. —Buenas noches. ¿Qué tal? —Muy bien, gracia
The diameter of bronchioles varies under the control of _____ neurons, which cause the diameter to _____. the diameter of bronchioles varies under the control o
Can you please help me with these ratios? 1) 30:36=5:__ 2) ___:6= 4:3 3) 1:2= ___: 4 4) 4: 2 = 20:___ 5) 6 : ___= 12 : 18
What is the difference between 1.8 and 1.08?
What might explain why the dots believe that they had more claim on Amsterdam then the British?
My cousins went to the mountains; I was envious. * Complete Sentence Incomplete Sentence Run-on Sentence Comma Splice Sentence
write a quick 3 paragraph essay that explains the effects of plagiarism or copying someone else’s words or ideas. 98 points
112,811 to the nearest hundred thousand
Why did Franklin D Roosevelt establish a security
According to the text, the basis for physical fitness is