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Find the 9th term of the geometric sequence 9, 27, 81, ...​

User Reduckted
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4 votes

Answer:

a(9) = 59049

Explanation:

The general term of a geometric sequence is a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, each new element is found by multiplying the previous one by 3. Thus, r = 3, and the general geometric series for this particular series is

a(n) = 9*3^(n - 1)

The 9th term is a(9) = 9*3(9 - 1) = 9*3^8 = 59049

User Edin Puzic
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