Curated OER
Worksheet 32 - Sequence
In this sequence worksheet, students explain the definition of a convergent sequence and draw models of sequences. This two-page worksheet contains four multi-step problems.
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 3)
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 4)
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
Curated OER
Converge or Diverge?
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
Curated OER
Worksheet 38 - Convergence or Divergence
In this convergence worksheet, pupils apply tests to determine the convergence or divergence of a series and identify the limit of a sequence of terms. This one-page worksheet contains four multi-step problems.
Curated OER
Sequences
Students solve problems using the TI. In this calculus lesson, students evaluate functions using sequences. They graph the functions on the TI and make observations.
Curated OER
Numerical Analysis: Sequence
In this sequence learning exercise, students explore the convergence of a sequence and the rate of a sequence. They explore problems and identify the order of convergence. This three-page learning exercise contains approximately six...
Curated OER
Numerical Analysis/ Orders of Convergence of a Sequence
In this math worksheet, learners examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
Curated OER
Rates of Convergence of Functions and Sequences
In this math activity, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
Curated OER
Worksheet 6 - Improper Integrals
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.
Curated OER
Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
Curated OER
Discussion Sheet 6: Convergence or Divergence
In this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.
Curated OER
Sequence Problems
In this sequence worksheet, students compute the first five terms of a sequence and determine whether each sequence converges or diverges. They determine the limits of given sequences. This two-page worksheet contains approximately 45...
Curated OER
Summary Worksheet: Sequences
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
Curated OER
Introduction to Infinite Sequences
For this infinite sequences worksheet, students discover the convergence and divergent behavior of infinite sequences. This worksheet references L'Hopital's rule.
Curated OER
Numerical Analysis: Rates of Convergence
In this rates of convergence worksheet, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page worksheet contains examples and six...
Curated OER
Exploring Infinite Sequences, Part II
In this algebra worksheet, students identify the nth term of the sequence. They find the missing term in the pattern and what theorem justifies their choice. There are 12 questions.
Curated OER
Infinite Geometric Series
In this geometric series instructional activity, students examine a given geometric series to determine if the series converges or divergeas. They evaluate and determine the common ratio of a geometric series. This four-page...
Curated OER
Geometric Sequences and Series
Learners find common ratios of geometric sequences on a spreadsheet. Using this data, they create scatter plots of the sequences to determine how each curve is related to the value of the common ratio. They will consider whether series...
Curated OER
Math 16C: Worksheet 11
In this calculus learning exercise, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
Curated OER
Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Curated OER
Worksheet 12: Sequences
In this sequences worksheet, students determine whether sequences converge or diverge. They write their complex numbers in polar form and find solutions for given equations. This two-page worksheet contains twenty-five problems. It...