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]

Answer Link

Otras preguntas

what is case-based reasoning?
what does it mean to have no 'hope in hell'?
write two irrational numbers between 1 and 2
Which microscope did Robert Hooke use to study tree bark
if 2x=4 what is the value of x
The base of a right prism is a square with edge 4 . The volume is 128 . The height is ?
If you start skating down this hill, your potential energy will be converted to kinetic energy. At the bottom of the hill, your kinetic energy will be equal to
what is a reporting verb?
what is 98% as a fraction
find each product by renaming one factor as a sum and applying the distributive property of multiplication over addition