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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, ...

 Jun 15, 2021
 #1
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Sequence A

2, 4, 8, 16, 32, 64, 128, 256

 

Sequence B

10, 30, 50, 70, 90, 110, 130, 150, 170, 190, 210, 230, 250, 270, 290,

 

130 - 128 = 2 is the closest we can get. 

 

=^._.^=

 Jun 15, 2021

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