Respuesta :
Answer:
-1215.
Step-by-step explanation:
For a geometric sequence:
nth term = a1 r^(n-1)
The first term a1 = 5 and the common ratio r = -15/5 = -3.
So 6th term = 5 * (-3)^(6-1)
= 5 * (-3)^5
= -1215.
The 6th term in this geometric sequence should be considered as the -1215.
Calculation of the 6th term:
The following formula should be used for the same.
nth term = [tex]a_1\ r^{(n-1)[/tex]
Here,
The first term a1 = 5
and the common ratio r = [tex]-15/5[/tex]= -3.
So 6th term should be
[tex]= 5 \times (-3)^{(6-1)}[/tex]
[tex]= 5 \times (-3)^5[/tex]
= -1215
Hence, The 6th term in this geometric sequence should be considered as the -1215.
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