# 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

Algebra ->  Algebra  -> Sequences-and-series -> 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      Log On

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Sequences-and-series Question 87110: 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 the formula for the nth term of a geometric sequence, what is the 10th term? Answer: C) Using the formula for the sum of a geometric sequence, what is the sum of the first 10 terms? Answer: 3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following: a) What is r, the ratio between 2 consecutive terms? Answer: Answer by jim_thompson5910(28598)   (Show Source): You can put this solution on YOUR website!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 ------------------------------------------------------------------- 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