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

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