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

Unit rate for 240 kilometers and 2.5 hours show your work
How is the value of 4 in 864 related to the value of 4 in 846?
How did the mayflower compact affect the settlement of the plymouth colony? a) it set up the process for governing farming in the colony. b) it became the basis
Hair and nails are derived from cells of the A. skin. B. bone. C. blood. D. fat tissue.
How the combination of electrons, protons ans neutrons results in the neutral charge of an atom?
How is the value of 4 in 864 related to the value of 4 in 846?
1.Which additional word in the poem should be capitalized? Firefly At dusk it flits unseen in the dark. Watch and wait, For a flickering Amber glow. A. U
What does 56×90? what does 56 times 90 equal what does 5600 equal
All plots must have _____. themes conflict action dialogue
How is the value of 2 in the number 542 different than the value of 2 in the number 324?