Problem

Find the sixth term of the geometric sequence with first term 4 and common ratio 10.

Answer

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Answer

\(\boxed{400000}\) is the final answer.

Steps

Step 1 ：Given a geometric sequence with the first term (a) as 4 and the common ratio (r) as 10.

Step 2 ：The formula to find the nth term of a geometric sequence is \(a \cdot r^{(n-1)}\).

Step 3 ：We are asked to find the sixth term, so we substitute \(a=4\), \(r=10\), and \(n=6\) into the formula.

Step 4 ：Calculating, we find that the sixth term is 400000.

Step 5 ：\(\boxed{400000}\) is the final answer.

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