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

Two numbers have a sum of fourteen. The larger number is twice the smaller number plus two. What are the two numbers?
Find the measure of the angle indicated in bold
50 points and Brainliest! Write a conclusion for this essay without using "to conclude" or any similar phrases. Ahh, 1933. Native American children chasing chic
A 31 y.o. African-American female collapses at mile 20 of a marathon. Although the temperature is in the 60’s she was advised by her coach to drink as much wate
Samantha is making a trapezoidal picture frame. She measured the frame. One of the bases is 6.5 cm and the height is 8 cm. What must the length of the other bas
what were two reasons that the new england states were ideal for the development of early factories
Find the product. √5•3√5
Solve - 9m-4+2m= -9-7m+5, and interpret the results.
Emily made $12.50 selling lemonade for 2 hours. If Emily wants to save $100, approximately how many hours would she need to sell lemonade?
Please help due in a few minutes I will mark u brainliest