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write a recursive definition for the sequence 8,6,4,2,...

Guest Jul 8, 2015

Best Answer 

 #1
avatar+20011 
+15

write a recursive definition for the sequence 8,6,4,2,...

 

$$\small{
\begin{array}{rclclcl}
a_1 &=& 8 \\
a_2 &=& a_1 - 2 &=& 8 - 2 &=& 6 \\
a_3 &=& a_2 - 2 &=& 6 - 2 &=& 4 \\
a_4 &=& a_3 - 2 &=& 4 - 2 &=& 2 \\
\cdots \\
\mathbf{a_n }& \mathbf{=} & \mathbf{a_{n-1}-2} \\
\\
\hline
\end{array}
}\\$$

heureka  Jul 8, 2015
 #1
avatar+20011 
+15
Best Answer

write a recursive definition for the sequence 8,6,4,2,...

 

$$\small{
\begin{array}{rclclcl}
a_1 &=& 8 \\
a_2 &=& a_1 - 2 &=& 8 - 2 &=& 6 \\
a_3 &=& a_2 - 2 &=& 6 - 2 &=& 4 \\
a_4 &=& a_3 - 2 &=& 4 - 2 &=& 2 \\
\cdots \\
\mathbf{a_n }& \mathbf{=} & \mathbf{a_{n-1}-2} \\
\\
\hline
\end{array}
}\\$$

heureka  Jul 8, 2015

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