Datboiriley69 Datboiriley69
  • 22-06-2018
  • Mathematics
contestada

What is the sum of the geometric sequence four, 16, 64,... If there are eight terms

A)21,845
B) 43,690
C)65,535
D)87,380

Respuesta :

LammettHash
LammettHash LammettHash
  • 23-06-2018
[tex]S=4^1+4^2+4^3+\cdots+4^8[/tex]
[tex]4S=4^2+4^3+4^4+\cdots+4^9[/tex]
[tex]\implies4S-S=3S=4^9-4^1[/tex]
[tex]\implies S=\dfrac{4^9-4}3=87,380[/tex]
Answer Link

Otras preguntas

describe how does carbon dating help scientists learn about early cultures? Please helpppppp
Which was not a factor that helped bring about the Reformation? a. The sale of indulgences to raise money for the pope's use angered many people. b. Some Chur
Divide 33 photos into 2 groups with a 4 to 7 ratio
last month, steven had $4285.68 that he divided into two accounts. he deposited 1/3 into a savings account. he deposited the rest into his checking account. HOW
What is the sum 32 divided by 2
what is 726x5 estimated
Triangle ABC has vertices of A(–8 ,8), B(6, 2), and C(–2, 1). Find the length of the median from C in triangle ABC a. √17 b. 4 c. 5 d. √65
on saturday,tom is paid $12.75 an hour plus a saturday bonus of $25.Sara is paid $11.75 an hour plus a bonus of $29.For how long must they work for toms total p
who directed the work of slaves
write 1,407 in scientific notation