The 5th term in the sequence is 1/9
The sequence is defined by
g subscript n equals 9 times open parentheses 1 third close parentheses to the power of n minus 1 end exponent.
Rewrite properly as
g(n) = 9 * (1/3)^n - 1
For the 5th term, the value of n is 5
So, we have
g(5) = 9 * (1/3)^5- 1
Evaluate the difference
g(5) = 9 * (1/3)^4
Evaluate the exponent
g(5) = 9 * 1/81
Evaluate the product
g(5) = 1/9
Hence, the 5th term in the sequence is 1/9
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