13) Notice that:
[tex]\begin{gathered} 5^{-4}=\frac{1}{5^4}, \\ 5^{-3}=\frac{1}{5^3}, \\ 5^{-2}=\frac{1}{5^2}, \\ 5^{-1}=\frac{1}{5^1}. \end{gathered}[/tex]
Therefore we can rewrite the given sequence as follows:
[tex]\frac{1}{5^4},\frac{1}{5^3},\frac{1}{5^2},\frac{1}{5^1},5^0,5^1,5^2,5^3,5^4.[/tex]
14) Simplifying the above sequence we get:
[tex]0.0016,0.008,0.04,0.2,1,5,25,125,625.[/tex]
15) Notice that:
[tex]\begin{gathered} 5^{-3}=5^{-4}*5, \\ 5^{-2}=5^{-3}*5 \\ 5^{-1}=5^{-2}*5, \\ 5^0=5^{-1}*5, \\ 5^1=5^0*5, \\ 5^2=5^1*5, \\ 5^3=5^2*5, \\ 5^4=5^3*5. \end{gathered}[/tex]
Therefore as the numbers increase, we multiply the previous term by 5, also, as the number decrease, we divide the previous term by 5.
Answer:
13)
[tex]\frac{1}{5^4},\frac{1}{5^3},\frac{1}{5^2},\frac{1}{5^1},5^0,5^1,5^2,5^3,5^4.[/tex]
14)
[tex]0.0016,0.008,0.04,0.2,1,5,25,125,625.[/tex]
15)
As the numbers increase, you multiply the previous term by 5.
As the number decrease, you divide the previous term by 5.
