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is this a geometric sequence: 2^0, 2^1, 2^2, 2^3, ...
 Oct 7, 2014

Best Answer 

 #1
avatar+23254 
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The numbers that you have are:  1,  2,  4,  8,  ...

A geometric sequence is one that has a common ratio, a number that can be used to multiply a number to get the next number.

In this case, you have a common ratio of 2; therefore, this is a geometric sequence.

Another way to look at this sequence is by finding the ratio of successive terms:

2/1,  4/2,  8/4,  ...  Since this ratio is always  2, this is a geometric sequence.

 Oct 7, 2014
 #1
avatar+23254 
+5
Best Answer

The numbers that you have are:  1,  2,  4,  8,  ...

A geometric sequence is one that has a common ratio, a number that can be used to multiply a number to get the next number.

In this case, you have a common ratio of 2; therefore, this is a geometric sequence.

Another way to look at this sequence is by finding the ratio of successive terms:

2/1,  4/2,  8/4,  ...  Since this ratio is always  2, this is a geometric sequence.

geno3141 Oct 7, 2014

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