Geometric Series Teacher Resources

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Young scholars investigate geometric series.  In this Algebra II/Pre-Calculus lesson, students use a spreadsheet application to create partial sums of geometric series and observe convergence and divergence.  Young scholars investigate the relationship between the behavior of the graph and the common ratio of the series.  Students examine the formula for the sum of a divergent infinite geometric series. 
Eleventh graders investigate infinite geometric series.  For this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series.   The TI-nspire handheld and appropriate application are required.
Students find patterns in a sequence.  In this sequences and series lesson, students use their calculator to find the sequence of partial sums.  They graph functions and explore convergent series.  Students approximate alternating series.
In this infinite geometric series worksheet, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values for each of the following infinite geometric series converge to. They also evaluate each of the sums in sigma notation.
In this Algebra II instructional activity, 11th graders use their knowledge of infinite geometric series to solve problems such as determine in the sum of a series, solving word problems, and converting repeating decimals to fractions.  The one page instructional activity contains sixteen problems.  Answers are not included. 
In this infinite geometric series, students determine the sum of a given infinite geometric series. They write repeating decimals as fractions. This one-page worksheet contains 26 problems.
In this infinite geometric series worksheet, students find the sum of a geometric series. They write repeating decimals as fractions. This one-page worksheet contains 26 problems.
In this mathematics worksheet, students solve 13 questions on series, factorial, phase mathematics and calculus. They define what phasor means.
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
Identify the limits. Using geometry, learners will define the limit and fundamental theorem of calculus. They will also relate limit and derivatives to the real world.
Looking for nice real-life example of a finite geometric series? In this video, a geometric series is used to calculate the monthly payment amount on the fixed rate loan. Starting with a general equation of monthly payments, Sal shows how the calculation of payments is actually a geometric series. He then uses this series to calculate an example payment for a loan.
In this sequences and series activity, 10th graders solve and complete 13 different problems that include infinite geometric series. First, they find the sum of each infinite geometric series. Then, students find the first three terms of each geometric series. They also express each decimal as a rational number in a given form.
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
Learners will determine if a series of numbers are geometric, arithmetic, or neither and determine the common ratio if appropriate. In this geometric units lesson, students given a geometric series, determine the general term, and the general sum.
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six problems.  Answers are not provided. 
Students determine the sum of an infinite geometric series.  In this determining the sum of an infinite geometric series activity, students discuss how the sum of an infinite geometric series is a paradox.  Students use the sum of an infinite geometric series formula to show that repeating decimals have a fractional representation.  Students solve paradox problems using the sum of infinite geometric series formula.
Why should one take the whole regimen of prescribed antibiotics? Use forms of a finite geometric series to find out. Change from expanded form to closed form in the geometric series and make calculations of the amount of antibiotics in the body at a given time. Graph the calculations and analyze the data to draw conclusions.
In this infinite sum worksheet, students identify an infinite geometric series, and use the Riemann sum. This one-page worksheet contains 6 multi-step problems.
Real-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph the findings to draw conclusions.
For this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.

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