stevienicole27
stevienicole27 stevienicole27
  • 16-10-2021
  • Mathematics
contestada

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose comman ratio is 1/2

Respuesta :

mariambarakat007
mariambarakat007 mariambarakat007
  • 16-10-2021

Answer:

there is a formula...

Sn = a1 (1 - r^n) / (1 - r)

a1 = first term = 3

n = number of terms = 8

r = common ratio = 1/2

now we sub

S(8) = 3(1 - 1/2^8) / (1 - 1/2)

S(8) = 3(1 - (1/2^8) / (1/2)

S(8) = 3(1 - 1/256) / (1/2)

S(8) = 3 (256/256 - 1/256) / (1/2)

S(8) = 3(255/256) / (1/2)

S(8) = (765/256) / (1/2)

S(8) = 765/256 * 2/1

S(8) = 1530/256

S(8) = 765/128 or 5 125/128 or 5.9765625

Step-by-step explanation:

Answer Link

Otras preguntas

Which of the following would say motivates a man who builds chairs and sells them to the public
What explains the rise of the atlantic slave trade?
which was a long term effect of the building of Transcontinental Railroad
All common cations are smaller than all common anions except one of these a. Rubidium b. Calcium c. Magnesium d. sodium
Help me number10 plesaes
1. Why did the United States support Panama’s revolt and independence from Columbia? A. to build a canal linking the Atlantic and the Pacific B. to prevent Brit
A total of 145 tickets were sold to a film showing bringing in a total of $1,153. Two types of tickets were sold: adult tickets were sold for $9.00 each and chi
simplify (x^2+z)(x^3-xz)
Please help me. Please.
What type of question can be answered using the bolded text?A Lion asleep in his lair was woken up by a Mouse running over his face. Losing his temper he seized