Problem

Question 1
Find the 9th term of the following geometric sequence 5,15,45,135

Answer

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Answer

\(\boxed{32805}\) is the final answer.

Steps

Step 1 :Given a geometric sequence with the first term as 5 and the common ratio as 3, we are asked to find the 9th term of the sequence.

Step 2 :The nth term of a geometric sequence can be found using the formula \(a * r^{(n-1)}\), where \(a\) is the first term, \(r\) is the common ratio, and \(n\) is the term number.

Step 3 :Substituting the given values into the formula, we get \(5 * 3^{(9-1)}\).

Step 4 :Solving the expression, we find that the 9th term of the sequence is 32805.

Step 5 :\(\boxed{32805}\) is the final answer.

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