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

What is 4.5 repeating as a fraction?
PLSS HELP MEEE!! It'll be very appreciated
In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if there are 14 flavors to choose from and it matters to the person
Josh rented a truck for one day there was a base fee fee of $12 and there was additional charge of 8 cents for each mile driven the total cost (c) for driving
Crates of masses 1 kg , 4 kg , and 6 kg are placed in a line on a frictionless table. They remain in contact as they are pushed by a 60 N force applied to the 1
A circle with a radius of 5 is transformed into the following function: (x/3)² + (5y)² = 25 What percentage of the original circle's area is the area of the new
Help me with ixl please
A parking garage bases its prices on the number of hours that a vehicle parks in the garage.The first two hours cost $2 per hour, between two hours and six hour
A population of 50 foxes in a wildlife preserve doubles in size every 14 years. The function y = 50.2*, where x is the number of 14-year periods, models the pop
Differentiate between an organic combustion reaction and an inorganic combustion reaction.