SOLUTION: Use the geometric sequence of numbers 1, 2, 4, 8,… to find the following: What is r, the ratio between 2 consecutive terms? Show work: Using the formula for the nth term

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Question 83820: Use the geometric sequence of numbers 1, 2, 4, 8,… to find the following:
What is r, the ratio between 2 consecutive terms?
Show work:
Using the formula for the nth term of a geometric sequence, what is the 24th term?
Show work:
Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Show work:

Answer by jim_thompson5910(21685) (Show Source):
You can put this solution on YOUR website!
The ratio r is the factor to get from term to term. So
r=nth term/(n-1) term

The sequence doubles each term, so the sequence is
So the 24th term is
(n=23 zero is the 1st term)
The sum of a geometric series is
where a=1

So the sum of the first ten terms is 1,023