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

Why do people live in Europe
Use the histograms to answer the question. How many more teenagers than adults have at least 600 songs on their music players?
What word means originally from a particular place
Which enlightenment thinker fought for tolerance and reason and whose ideas of freedom of speech and religion were included in the us bill of rights and the fre
The price of a mobile phone decreased from $375 to $250 during a clearance sale. What is the percent of decrease in the price? Round to the nearest percent, if
What goes into 133 and 30
how did Thucydides view war and politics?
Which of the following distinguished the Middle Colonies from New England and the Southern Colonies? A. representative government B. peace treaties with Native
Simplify n+n+n+n ?????
is copper a liquid, solid, or gas when it's room temperature?