gabster49 gabster49
  • 03-06-2018
  • Mathematics
contestada

Find the 10th term of the geometric sequence given a1 =4 and a4 = 1/2

The answer is 1/128

Respuesta :

mkryukova19 mkryukova19
  • 04-06-2018
Equation for n-th term of geometric sequence:

a(n)=a(1)*r^(n-1)
For 4th term,
a(4)=a(1)r^(4-1)
1/2=4*r^3
∛(1/8) = ∛(r^3)
r=1/2

For 10th term,
a(n)=a(1)*r^(n-1)
a(10)=4*(1/2)^(10-1)
a(10) =4/(2^9) =( 2^2)/(2^9)= 1/(2^7) = 1/128



Answer Link

Otras preguntas

the potato salad you just brought to the picnic potluck in the park has been sitting out for four hours on a hot sunny day, what should you do with the elft ove
Find the perimeter of parallelogram ABCD with vertices A(-5,6), B(2,6), C(1,-2), and D(8,-2)17 units43 units34 units40 units​
During a medical emergency, the dentist and staff are responsible for providing emergency care until:
Which of the following is not one of the four things that all organisms need to survive? A. water B. air C. a source of energy D. the ability to move
Internal rate of return (IRR) must be compared to the Blank______ rate in order to determine the acceptability of a project.
All aspects of the Kirby-Bauer test are standardized to assure reliability. What might be the consequence of pouring the plates 2mm deep instead of 4mm deep
answer dis plsss and explain too
B: if x is 6, what is y?
Discuss three activities through which local government
help me thank youuu!