Find the indicated term of the following geometric sequence.
$a_n=4(0.3{)}^{n-1}$
Find $a_5$.

• A. $0.0324$
• B. $0.0097$
• C. $0.0029$
• D. $0.1620$

Answer: (A)

Verified step by step guidance

1. Identify the general term of the geometric sequence given by the formula: \(a_{n} = 4(0.3)^{n-1}\).
2. To find the 5th term, substitute \(n = 5\) into the formula: \(a_{5} = 4(0.3)^{5-1}\).
3. Simplify the exponent in the expression: \(a_{5} = 4(0.3)^{4}\).
4. Calculate the value of \(0.3\) raised to the 4th power: \((0.3)^{4}\).
5. Multiply the result from the previous step by 4 to find \(a_{5}\).