elaaydin16 elaaydin16
  • 20-03-2020
  • Mathematics
contestada

how do i find the first term of a geometric sequence when i know a3= 1/8 and a6= 1 ?

Respuesta :

devishri1977
devishri1977 devishri1977
  • 21-03-2020

Answer:

Step-by-step explanation:

nth term = ar^(n-1)

a3 = 1/8;   ar² = 1/8

a6 = 1;      ar⁵ = 1

[tex]ar^{2}*r^{3}=1\\\\\frac{1}{8}*r^{3}=1\\\\r^{3}=1*8\\\\r^{3}=8\\\\r^{3}=2^{3}\\\\r=2[/tex]

[tex]ar^{2}=\frac{1}{8}\\\\a*2^{2}=\frac{1}{8}\\\\a*4=\frac{1}{8}\\\\a=\frac{1}{8*4}\\\\a=\frac{1}{32}\\\\[/tex]

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