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

Is this statement true or false?The amount of salt and other dissolved minerals present in ocean water is a measure of the water's salinity.truefalse
Which statements explain why the Olympic Mountains region is a popular tourist destination? Check all that apply. Most activities are indoors, making poor weath
which organelle is responsible for digesting the contents of a phagosome?
which is the archetype here?
20 POINTS IF YOU HELP ME REINFORCE Mark is testing the precision of his postal scale. He places a 2-gram weight on the scale and it registers 1.65 grams. What
5/8 of 40 meters . .with working out
who is george wahsington
which are the achievements of time that have influenced modern medicine and how?
what is 3/5 divided by 1/2 using the keep change flip method
5.2% of 628.55km rounded to two decimal places​