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

question on picture. this might be long
Name the highlighted arc. S E D 0 P
Emma runs 12km Cycles 26km Running speed X km/m Cycling speed 10km/hr faster than running speed Total time taken 22 hrs and 48 minutes An expression for time in
Which one idea of hume’s from this list do you think wildcat would most likely agree with ? ( a ) give your choice & ( b ) explain your answer in two senten
How does hiv and aids infect a person ​
Help on the answer please
To begin to explore this issue (and to provide me with an idea of your baseline writing ability), please write a well-developed paragraph on what happiness mean
Which valuation technique (Market, Income and Cost) do you find most useful in business development and management professional field? Why? What are the main ch
moles of Fe in 5.22x1022 atoms of Fe
What is the following sum? 23/16xy+43,64xy 0 4x(3/2y) + 12x²y3√/2y² O 08x/xy +12x°y (3{6y ) 0 16xy(3,27 0 48xºy(3/2y