SOLUTION: Any help here? Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following: a) What is r, the ratio between 2 consecutive terms? Answer: b) Using th

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a)
The ratio r is the factor to get from term to term. So to find r, simply pick any term and divide it by the previous term:
Divide the term of 27 by 9
So the ratio is


b)
The sequence is multiplying by a factor of 3 each term, so the sequence is
This means the 10th term is
(let n=9, remember n=0 is the 1st term)
So the 10th term is 19,683


c)
The sum of a geometric series is
where a=1
Plug in and
Evaluate
Subtract
Divide
So the sum of the first ten terms is 29,524




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3)
a)
The ratio r is the factor to get from term to term. So to find r, simply pick any term and divide it by the previous term:
Divide the term of by
So the ratio is