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

The difference between the high and low temperatures one day was 26°F. The low was 64°F. find the high temperature. A. 38 B. 2 C. 90 D. 1664
This assignment is due in a little can you guys help me, please?
How can deep-seated hatreds be countered?
What is the independent variable? Diameter Circumference
A scale drawing of a building shows 1 inch = 8 feet. How many feet are represented by 3 ¾ inches on the drawing?
82 - 2x - 10 factor each polynomial​
Determine if each ratio is equivalent to 36:40 or not.
3 ÷ 1/8 show your work on paper! :D
IMAX Movie Prices. There were 322 people at a recent showing of the IMAX 3D movie "300". Admission was $8.75 each for adults and $6.00 each for children. Receip
Do you believe that most violent juvenile offenders can be rehabilitated?