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

1. Baking powder is a 1:1 molar mixture of cream of tartar (KHC4H4O6) and baking soda (NaHCO3). A recipe calls for two teaspoons (a total of 8.0 grams) of cream
please help me factorx2 - 25=?
Cameron made 1 loaf of bread. His family ate 4/6 of the loaf of bread. How much of the loaf of bread remains?/
Imagery _____.appeals to the five sensescreates an emotional responseplays a key role in Robert Frost's "Birches"all of these
How did the economy in the 20’s lead to the Florida Land Boom.
synthesizing new ideas from a speaker with what one already knows about the subject to see if the information makes sense is an example of a) questioning and c
Divide: 1573 ÷ 7 = A) 222 R5 B) 223 R6 C) 224 R5 D) 224 R3
A direct democracy is similar to a representative democracy because both forms of government A. have leaders with unlimited powers. B. are led by a single
Yosef can eat 21 jamuns while Rose can eat just 15 . Complete the blank. Yosef can eat % more jamuns than Rose.
Find four consecutive odd numbers which add to 64. Give the numbers smallest to largest