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Write an explicit rule for the recursive rule.

a1=16,an=0.5an−1

 

How?

 Mar 10, 2022
 #1
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Rule:  a1  =  16          an  =  ½·an - 1  

 

a1  =  16  =  24

a2  =    8  =  23

a3  =    4  =  22

a4  =    2  =  21 

 

Notice that each answer can be written as a power of 2.

Also notice that the subscript of the term when added to the exponent results in 5.

 

Combining these two ideas:  an  =  25 - n

...

 Mar 10, 2022

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