![]() ![]() Each day after that, the number of shoppers is 10\ 10 more than the number of shoppers the day before. Then we will investigate different sequences and figure out if they are Arithmetic or Geometric, by either subtracting or dividing adjacent terms, and also learn how to write each of these sequences as a Recursive Formula.Īnd lastly, we will look at the famous Fibonacci Sequence, as it is one of the most classic examples of a Recursive Formula. Geometric series Finite geometric series word problems Google Classroom You might need: Calculator A new shopping mall records 120 120 total shoppers on their first day of business. I like how Purple Math so eloquently puts it: if you subtract (i.e., find the difference) of two successive terms, you’ll always get a common value, and if you divide (i.e., take the ratio) of two successive terms, you’ll always get a common value. For example, the sequence 1, 3, 9, 27, 81 is a geometric sequence. ![]() Then, we either subtract or divide these two adjacent terms and viola we have our common difference or common ratio.Īnd it’s this very process that gives us the names “difference” and “ratio”. The geometric sequence is sometimes called the geometric progression or GP, for short. Factor a quadratic expression to reveal the zeros of the function. And adjacent terms, or successive terms, are just two terms in the sequence that come one right after the other. Examples, solutions, videos, and lessons to help High School students learn to choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Find the fifth term of 6, 24, 96, SOLUTION: Calculate the. Well, all we have to do is look at two adjacent terms. Write an equation for the nth term of the geometric sequence, and find the indicated term. It’s going to be very important for us to be able to find the Common Difference and/or the Common Ratio. Comparing Arithmetic and Geometric Sequences ![]()
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