jenna123rousset jenna123rousset
  • 10-09-2021
  • Mathematics
contestada

Find the 15th term of the geometric sequence 180, 90, 45,...

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 10-09-2021

Answer:

[tex]\frac{45}{4096}[/tex]

Step-by-step explanation:

1) q=90/180=45/90=...=1/2;

2) the formula of the n-th term of the given sequence is:

[tex]a_n=a_1*q^{n-1};[/tex]

3) according to the formula 15th term is:

[tex]a_{15}=a_1*q^{15-1}=180*\frac{1}{2} ^{14}=\frac{180}{16384} =\frac{45}{4096}[/tex]

or ≈0.011.

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