Answer:
9765625
Explanation:
The nth term of a geometric sequence can be calculated using the following
[tex]a_n=a_1r^{n-1}_{}[/tex]Where a1 is the first term and r is the common ratio. The value of a1 is 1 and the value of r can be calculated as the ratio between two consecutive numbers, so
5/1 = 5
25/5 = 5
125/25 = 5
625/125 = 5
Therefore, r = 5 and a1 = 1. Replacing this values, we get:
[tex]\begin{gathered} a_n=1\cdot5^{n-1}^{} \\ a_n=5^{n-1} \end{gathered}[/tex]Finally, we can find the 11th term replacing n by 11, so
[tex]a_{11}=5^{11-1}=5^{10}=9765625[/tex]Therefore, the 11th term of the sequence us 9765625