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Sequence A is a geometric sequence. Sequence B is an arithmetic sequence. Each sequence stops as soon as one of its terms is greater than 300. What is the least positive difference between a number selected from sequence A and a number selected from sequence B? 

 

Sequence A: 2, 4, 8, 16, 32, ...

 

Sequence B: 10, 30, 50, 70, 90, ...

 Apr 16, 2021
 #1
avatar+118586 
+1

The  smallest possible  difference is  2

 

The  first  sequence  last digit  is either  a   2 , 4, 6 or 8

 

The  second  sequence  last  digit is  always  0

 

So....the least possible positive  difference  is  either   ( 2 - 0 )  or ( 10 - 8 )   =   2

 

 

cool cool cool

 Apr 16, 2021

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