nathanboff
nathanboff nathanboff
  • 04-07-2019
  • Mathematics
contestada

What is the sum of the geometric series?
4
E (-2)(-3)^n-1
n=1

A. –122
B. –2
C. 40
D. 54

Respuesta :

r3t40
r3t40 r3t40
  • 04-07-2019

[tex]

\Sigma_{n=1}^{4}-2\cdot(-3)^{n-1} \\

(-2)(-3)^{1-1}+(-2)(-3)^{2-1}+(-2)(-3)^{3-1}+(-2)(-3)^{4-1} \\

-2+6-18+54 \\

\boxed{40}

[/tex]

So the answer is C,

[tex]\Sigma_{n=1}^{4}-2\cdot(-3)^{n-1}=40[/tex]

Hope this helps.

r3t40

Answer Link

Otras preguntas

Can you solve this equation 13m-22=9m-6
what is the difference between "general will" and "individual will"? why does Rousseau claim the general will is always good?
The water cycle is driven by energy from the sun which process and the water cycle is caused directly by the Suns energy ? A. Evaporation B. condensation C. Pr
3902.00 divided by 3
What is the least common multiple of 12, 20, and 18?
____ energy gets converted to ____ energy through photosynthesis. A.Radiant; chemical B.Chemical; radiant C.Radiant; mechanical D.Ch
If a mother carries a recessive allele for a genetic disorder, such as cystic fibrosis, under what circumstances will her children inherit the disorder?
Britain saw its colonies as a source of
How do you say it's 1:45 in french A) ll est une heure moins quart. B) ll est un heure quarante-cinq. C) ll est un heure moins quart. D) ll est une heure quadra
What were the outcomes of European Exploration?