Write formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...

Twenty-eight problems, two pages, and an answer key all related to number patterns, recursive formula, and arithmetic sequence. Leaners find the next number in the pattern or sequence and determine the arithmetic formula to go with the...

Consider recursive sequences with your class. They solve 10 different problems that include various recursive formula sequences. First, they write a recursive formula for the sequence shown, then determine the first 4 terms of the...

Explore geometric sequences with this 30 problem worksheet. Upper graders determine if the sequences shown are geometric and find the common ratio. Then, given the explicit formula for a geometric sequence find the first five terms and...

If your test scores go up five points every problem you complete on this worksheet, is that an arithmetic or geometric sequence? Learners practice through four straightforward sequence questions and then finish with six word problems and...

Build up from the previous activity where your learners charted the population growth and decay of a fish pond with M&Ms®. Have them look at the data from that activity and create a Now-Next, or recursive equations, to predict the...

Get siblings to do your work. Scholars learn how to perform summations of arithmetic sequences in an innovative lesson. They use iterations, smaller siblings (tail-end recursion), and the divide-and-conquer approach.

To say it explicitly—put the terms in order. Pupils learn about the two main sequences, arithmetic and geometric and discover the general explicit formulas for both types. Using the formulas, learners then calculate specific terms of the...

Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in...

In this fractions decomposition worksheet, students set up partial fractions decomposition for rational functions. They use any method to integrate problems and derive recursion formulas for integrals. This one-page worksheet contains...

Sticks and stones may break my bones, but these sticks will make me smarter. Pupils examine arrays of sticks to determine the next array in a pattern. They use the number of sticks added to each previous array to determine a recursive...

In this algebra instructional activity, students solve a pattern or sequence using geometric and arithmetic formulas. There are 21 questions on 5 different sections.

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

In this algebra worksheet, 9th graders analyze patterns and figure out the next number or pattern in the series using explicit and recursive formulas. There are 44 questions with an answer key.

Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...

For this volume of a hypersphere worksheet, learners solve 4 problems where they find the volume formula and calculate the volume given the dimensions of the hypersphere.

Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

In this exponential growth worksheet, students integrate problems and determine exponential growth. This one-page worksheet contains twelve problems.

In this Fibonacci learning exercise, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page learning exercise contains five multi-step problems that...

Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This...

Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...

There are many ways to correlate coffee to life, but in this case a activity looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for...

In this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method. 

In this Algebra II/Pre-calculus instructional activity, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page instructional activity...