SOLUTION: Identify the 9th term in the geometric sequence. 972, 324, 108, 36,... answers: a) 1/27 b) 4/27 c) 1/81 d) 4/81

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Identify the 9th term in the geometric sequence. 972, 324, 108, 36,... answers: a) 1/27 b) 4/27 c) 1/81 d) 4/81       Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Evaluation, Substitution Solvers Lessons Answers archive Quiz In Depth

 Question 453961: Identify the 9th term in the geometric sequence. 972, 324, 108, 36,... answers: a) 1/27 b) 4/27 c) 1/81 d) 4/81 Found 2 solutions by htmentor, solver91311:Answer by htmentor(789)   (Show Source): You can put this solution on YOUR website!Identify the 9th term in the geometric sequence. 972, 324, 108, 36,... ==================================== First we need to find the common ratio: r = 324/972 = 1/3 So the n-th term in the sequence is: So the 9th term is This simplifies to 4/27 Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! So for the 9th term, replace with 9: The rest is just calculator arithmetic. Hint: Your calculator is going to give you a repeating decimal for an answer. Multiply the calculator result by 3, then do it again, and continue until the calculator gives you a whole number. That is the numerator of your fractional answer. 3 raised to the power of the number of times you multiplied by 3 is the denominator. John My calculator said it, I believe it, that settles it