doggylover1713 doggylover1713
  • 02-11-2018
  • Mathematics
contestada

The first term of a geometric sequence is -2 and the commen ratio is negative one fourth what are the next three terms of the sequence

Respuesta :

gmany
gmany gmany
  • 06-11-2018

[tex]a_1=-2\\r=-\dfrac{1}{4}\\-------------------\\\\a_{n}=a_{n-1}r\\\\a_2=a_1r\to a_2=-2\left(-\dfrac{1}{4}\right)=\dfrac{1}{2}\\\\a_3=a_2r\to a_3=\left(\dfrac{1}{2}\right)\left(-\dfrac{1}{4}\right)=-\dfrac{1}{8}\\\\a_4=a_3r\to a_4=\left(-\dfrac{1}{8}\right)\left(-\dfrac{1}{4}\right)=\dfrac{1}{32}\\\\\boxed{Answer:\ \dfrac{1}{2},\ -\dfrac{1}{8},\ \dfrac{1}{32}}.[/tex]

Answer Link

Otras preguntas

two step equations : -1/5t - 2 = 4 please explain your answer, step by step
how did the 10 Commandments influence later political and legal ideas
A rectangle has a perimeter of 30m. The length is 10m. Solve the following equation to find the width: 2w+ 2(10)= 30
in your own words explain the place value relationship when the same two digits are next to each other in a multi digit number
in which of the following sentences is the word conspired used correctly ? a. the daughter conspired to do better than waverly at the piano recital. b. the moth
How does Chile's population differ from that of other Andean nations
What is responsible for creating wind and keeping everything in the solar system in its clutches
Many have heard me, but nobody has seen me, and I will not speak back until spoken to. What am I? 50 Point Riddle!
Can someone please help me with this
A triangular brace has an angle measure of 92 degrees, with a side opposite this angle measuring 10 inches. The base of the triangular brace, which is adjacent