Datboiriley69 Datboiriley69
  • 22-06-2018
  • Mathematics
contestada

What is the sum of the geometric sequence four, 16, 64,... If there are eight terms

A)21,845
B) 43,690
C)65,535
D)87,380

Respuesta :

LammettHash
LammettHash LammettHash
  • 23-06-2018
[tex]S=4^1+4^2+4^3+\cdots+4^8[/tex]
[tex]4S=4^2+4^3+4^4+\cdots+4^9[/tex]
[tex]\implies4S-S=3S=4^9-4^1[/tex]
[tex]\implies S=\dfrac{4^9-4}3=87,380[/tex]
Answer Link

Otras preguntas

There are 6 boys to every 9 girls in the sixth grade. There are a total of 75 students in the sixth grade. There are how many boys in the sixth grade?
Suppose you are at a store and you see something you would really like. You know your spouse will be very angry if you buy it and you don’t want to get in an ar
Definition of excretory
If an object is propelled upward from a height of s feet at an initial velocity of v feet per​ second, then its height h after t seconds is given by the equatio
i need complete help. any?
A famous person who was defeated seven times while running for political office?
What type of passive transport uses the assistance of proteins to help molecules pass through the plasma membrane?1) facilitated2) active3) diffusion4) osomosis
What twentieth-century economist argued that governments should engage in large public works and lower interest rates to stimulate economically depressed econom
What is the coefficient for hydrogen in the balanced equation for the reaction of solid molybdenum(iv) oxide with gaseous hydrogen to form solid molybdenum and
PLease help correct answer and the fastest wins the brainliest!! It is 1 question.