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

Will mark brainliest
The control of infectious disease remains challenging a century after the understanding of infectious disease began. what contributes to the continuing challeng
Find the average rate of change of the function...... f ( x ) = 2 x ^2 + 2 x − 4 , on the interval x ∈ [-1,4].
Please help me out!!!!
Torn ligaments would involve damage to which tissue
Someone help please
The quotient of a number, x, decreased by 4 and 7 is less than or equal to 2 or greater than or equal to 8. What are the possible solutions of x?
How is Illinois considered a formal region?
Shawna had a beginning balance in her checking account of $123.32. she wrote check #2341 for $23.77. she deposited two checks totaling $349.98 into her account.
What part of the cell packages and stores chemicals?