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# geometric sequence

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

May 5, 2022

#1
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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
+302
+2

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