LorileeLannom836
LorileeLannom836 LorileeLannom836
  • 24-07-2015
  • Mathematics
contestada

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = -8,192. 134,217,728 33,554,432 -33,554,432 -134,217,728

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naǫ
naǫ naǫ
  • 24-07-2015
[tex]a_1=8 \\ a_6=-8192 \\ \\ a_n=a_1 \times r^{n-1} \\ -8192=8 \times r^{6-1} \\ \frac{-8192}{8}=r^5 \\ -1024=r^5 \\ \sqrt[5]{-1024}=r \\ r=-4 \\ \\ a_{12}=8 \times (-4)^{12-1}=8 \times (-4)^{11}=8 \times (-4194304)=-33554432[/tex]

The 12th term of the sequence is -33,554,432.
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quintesu
quintesu quintesu
  • 08-06-2022

Answer:

-33,554,432.

Step-by-step explanation:

I just took the test and it is correct

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