SOLUTION: I have a problem with a geometric sequence, these are all the numbers up to 10. 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. I need to find out how u get those numbers, I need to

Algebra ->  Sequences-and-series -> SOLUTION: I have a problem with a geometric sequence, these are all the numbers up to 10. 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. I need to find out how u get those numbers, I need to      Log On


   

Question 77731This question is from textbook Pre-Algebra
: I have a problem with a geometric sequence, these are all the numbers up to 10. 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. I need to find out how u get those numbers, I need to find out the equation to get it. please help me! This question is from textbook Pre-Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, this looks like the binary sequence:
a%5Bn%5D+=+2%5E%28n-1%29 where n is the number of the term and a%5Bn%5D is the nth term.
When n = 1, then a%5B1%5D+=+2%5E0 = 1
When n = 2, then a%5B2%5D+=+2%5E1 = 2
When n = 3, then a%5B3%5D+=+2%5E2 = 4
When n = 4, then a%5B4%5D+=+2%5E3 = 8
Can you see the pattern?