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What is the tenth term in the geometric sequence 9, 3/2, 1/4, ...?

 May 5, 2022

Best Answer 

 #1
avatar+220 
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Recall the geometric sequence formula for the nth term: \(a_n = a_1(r)^{n-1}\)

\(a_1 = 9\)

r = 1/6

n = 10

\(a_{10} = 9({1 \over 6})^9\)\(= {9 \over 6 ^ 9}\)\(= {1 \over 2^2 \cdot 6^7}\)

 

If you need a decimal form I believe that the calculator on this website should be able to provide you with that.

 May 5, 2022
 #1
avatar+220 
+2
Best Answer

Recall the geometric sequence formula for the nth term: \(a_n = a_1(r)^{n-1}\)

\(a_1 = 9\)

r = 1/6

n = 10

\(a_{10} = 9({1 \over 6})^9\)\(= {9 \over 6 ^ 9}\)\(= {1 \over 2^2 \cdot 6^7}\)

 

If you need a decimal form I believe that the calculator on this website should be able to provide you with that.

WhyamIdoingthis May 5, 2022

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