layshayhidder layshayhidder
  • 26-05-2020
  • Mathematics
contestada

The first term of a geometric sequence is 400 and the common ratio is 0.5. What
is the 5 th term of the sequence?
100
50

Respuesta :

jimrgrant1 jimrgrant1
  • 26-05-2020

Answer:

25

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 400 and r = 0.5 , thus

[tex]a_{5}[/tex] = 400 × [tex](0.5)^{4}[/tex] = 400 × 0.0625 = 25

Answer Link

Otras preguntas

which branch of government is headed by the US Supreme Court
Bonus solve the equation aݔ ଶ + 7x – 4 = 0 for x by using the quadratic formula.
Georgia is buying threw books. They cost $14.00, $15.95,and $17.50. What is the total cost of the three books?
How often should a woman who is past puberty get a checkup of the reproductive system?
Which racial community has the lowest percentage of children living with cohabitating parents?
Which best describes the lyrical melodies of the classical period. a. disjunct and leaping in shape b. based on the chromatic scale c. constructed with an irreg
A particle moves in an elliptical or circular motion. It is most likely a particle in which type of wave? a.) sound b.) transverse c.) longitudinal d.) surfa
HELP QUICK PLEASE! THANKS
what is the theme for the fable the mouse and the lion
Start to finish, what is the correct order of the stages in an alcoholic's recovery?