Find any of the values $a_{1}, r, a_{n}, n$ , or $S_{n}$ that are missing from the geometric sequence.
$r = \frac{5}{3}, n = 5, S_{5} = \frac{1441}{3}$
The value of $a_{1}$ is 27 .
(Simplify your answer. Type an integer or a fraction.)
The value of $a_{5}$ is
(Simplify your answer. Type an integer or a fraction.)

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Final Answer: The value of $a_{5}$ is $\frac{625}{3}$ .

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Step 1 ：We are given the common ratio $r$ , the number of terms $n$ , the sum of the first $n$ terms $S_{n}$ , and the first term $a_{1}$ . We are asked to find the fifth term $a_{5}$ .

Step 2 ：The formula for the nth term of a geometric sequence is $a_{n} = a_{1} * r^{(n - 1)}$ . We can use this formula to find $a_{5}$ .

Step 3 ：Substitute the given values into the formula: $a_{1} = 27$ , $r = \frac{5}{3}$ , and $n = 5$ .

Step 4 ：Calculate $a_{5} = 27 * (\frac{5}{3})^{(5 - 1)} = \frac{625}{3}$ .

Step 5 ：Final Answer: The value of $a_{5}$ is $\frac{625}{3}$ .

Find any of the values a1,r,an,n, or Sn that are missing from the geometric sequence.r=53,n=5,S5=14413The value of a1 is 27 .(Simplify your answer. Type an integer or a fraction.)The value of a5 is(Simplify your answer. Type an integer or a fraction.)

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