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  • 21-10-2019
  • Mathematics
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If a geometric sequence has a1 = 256 and a8 = 512, find the exact value of the common ratio ????.

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  • 22-10-2019

Answer:r=1.104

Step-by-step explanation:

Given

First term a_1=256

[tex]a_8=512[/tex]

Also [tex]a_8[/tex] can also be written in

[tex]a_8=ar^7[/tex]

where r=common difference

[tex]512=256r^7[/tex]

[tex]2=r^7[/tex]

[tex]r=\left ( 2\right )^{\frac{1}{7}}[/tex]

r=1.104

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