AmberBeckford AmberBeckford
  • 04-05-2018
  • Mathematics
contestada

What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?

A. 292,524


B. 265,720


C. 139,968


D. 104,976

What is the sum of a geometric sequence 1 3 9 if there are 12 terms A 292524B 265720C 139968D 104976 class=

Respuesta :

calculista
calculista calculista
  • 15-05-2018
we know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
common ration r is equal to 3
number of terms n  is 12

The 
Sum of geometric series is given by the formula
Sum=a1*[1-r^n]/[1-r]
Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
Sum=531440/2-----> 265720

the answer is
265720




Answer Link

Otras preguntas

can someone help me answer these?
A test question about a specific fact, like Who was president of the United States when the Great Depression began, is a(n) ________________ question. right th
6 4/5 - 2 1/5 is what?
Before the war began, how many Southern states seceded from the Union? four eleven seven six
A trade ____ occurs when a country imports more goods and services than it exports. Answer deficit surplus dividend credit
This process produces four new cells with half of the chromosomes as the parent cell. Mitosis Meiosis Cell division Sexual reproduction
7wk is less than 52days
from 8:58 to 12:30 how many hours did i work
What is the mean absolute deviation for 7, 5, 1, 6, 2, and 3? A. 6 B. 3 C. 2 D. 1
A credit report is a _____.