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what is the 10th term of the sequence 64,16,4.....?

 Jul 9, 2015

Best Answer 

 #1
avatar+24093 
+10

what is the 10th term of the sequence 64,16,4.....?

 

$$\small{\text{$
\begin{array}{rclcl}
a_1 &=& 64 &=& 4^3 \\
a_2 &=& 16 &=& 4^2 \\
a_3 &=& 4 &=& 4^1 \\
&& \cdots \\
a_n &&&=& 4^{4-n} \\
\\
\hline
\\
a_{10} &&&=& 4^{4-10} \\
a_{10} &&&=& 4^{-6}
\end{array}
$}}$$

 

 Jul 9, 2015
 #1
avatar+24093 
+10
Best Answer

what is the 10th term of the sequence 64,16,4.....?

 

$$\small{\text{$
\begin{array}{rclcl}
a_1 &=& 64 &=& 4^3 \\
a_2 &=& 16 &=& 4^2 \\
a_3 &=& 4 &=& 4^1 \\
&& \cdots \\
a_n &&&=& 4^{4-n} \\
\\
\hline
\\
a_{10} &&&=& 4^{4-10} \\
a_{10} &&&=& 4^{-6}
\end{array}
$}}$$

 

heureka Jul 9, 2015

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