Answer: 1953125
Step-by-step explanation:
The given sequence = 1, 5, 25, 125, ….
We can rewrite the terms of the above sequence as (power of 5):
[tex]5^0,\ 5^1,\ 5^2,\ 5^3\ ,....[/tex]
Formula for each term : [tex]f(n)=5^{n-1}[/tex]
To find the 10th term , we substitute n=10 , we get
[tex]f(10)=5^{10-1}=5^9\\\\=5\times5\times5\times5\times5\times5\times5\times5\times5\\\\=1953125[/tex]
Hence, the 10th term of the sequence.= 1953125
