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Which term of the geometric sequence is 6,561 for 1/27, 1/9, 1/3, 1, …?

User Mxk
by
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1 Answer

6 votes

Given:

A geometric sequence is given as 1/27,1/9,1/3,1...

Required:

We have to find the which term is 6561 in this sequence

Step-by-step explanation:

Here a means the first term is 1/27 and r means ratio is 3

now we have formula for geometric sequence is


a_n=ar^(n-1)

here an is 6561

now just put all vales and find the n


6561=(1)/(27)3^(n-1)
177147=3^(n-1)
3^(11)=3^(n-1)
n-1=11

so


n=12

Final answer:

6561 is 12th term

User KovBal
by
8.3k points

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