Finding the Formula for the String 2,4,8...

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The sequence 2, 4, 8 is identified as a geometric progression where each term is double the previous one. The formula for the nth term is expressed as a_n = 2^n, starting with n=1. There is a discussion about the terminology, questioning whether "string" is the correct term or if "sequence" is more appropriate. Participants explore how to derive subsequent terms based on the established pattern. The conversation emphasizes understanding the underlying formula for the sequence.
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Homework Statement



Determine the formula of this string:

2,4,8, ...


Homework Equations





The Attempt at a Solution



How will I determine the formula of this string? Is there any general formula, or I am let on my own to determine what it is?

Thank you.
 
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Why do you call, "2, 4, 8, ..." a string? Could you call it a sequence?

Using "2" as the first term, how is the next term determined? How is the term after that one determined? The fourth term is not shown, but the pattern continues.
 
a_n=2^n

But there is another one.
 

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