Sequences and Series Teacher Resources
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In this sequences and series worksheet, students complete seven activities covering arithmetic sequences, geometric sequences, and series. Fully worked out examples, formulas, and explanations are included.
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 determine if a geometric series is converging or diverging using a graphing calculator.
Learners investigate sequences and series numerically, graphically, and symbolically. For this sequences and series lesson, students use their Ti-89 to determine if a series is convergent. Learners find the terms in a sequence and series and graph them. Students use summation notation to determine the sum of a sequence.
In this sequence worksheet, students determine the sum of numbers in a sequence. They evaluate an arithmetic sequence. This seven-page worksheet contains detailed notes, examples, and 10 problems.
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 algebra instructional activity, students solve sequences using the geometric mean for sequences and series. They have to find the next number in the pattern using the formula for geometric means. There are 23 problems to be solved.
In this Algebra II worksheet, 11th graders review sequences and series. Students solve problems in order to determine the caption for a picture.
In this sequencing worksheet, students solve problems with sequences and series. They derive formulas to solve word problems and receive specific points for doing so. There are 8 questions with an answer key.
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.
In this sequences and series instructional activity, students find the sum of a given geometric series. They use sigma notation to express a geometric series. This one-page instructional activity contains 12 problems.
Students explore the concept of arithmetic series and sequences. In this arithmetic series and sequence instructional activity, students compare arithmetic sequences and series. Students solve arithmetic series and sequence word problems.
Students identify patterns found in nature. In this algebra lesson, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.
In this algebra worksheet, students perform operations using arithmetic and geometric sequences and series. They find the sum, missing and repeated terms. There are 22 problems
Students read Nina Bonita by Ana Maria Machado. In this reading comprehension/ geography lesson, students recall various parts of the story and create a map of where the rabbit traveled throughout the story. They participate in group discussions about setting and observations of race intolerance, which is brought up in the story. This lesson includes ideas for extension activities.
Students explain the purpose of a photo essay, sequence a series of events, and explain the format in creating a photo essay, which includes a caption for each picture. They complete a photo essay as a creative activity.
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 converge or diverge and view graphs of series to determine the behavior as n increases.
In this sequences and series worksheet, students solve 18 multiple choice problems. Students find the next terms in a sequence, the sum of series, determine if a series is convergent, expand binomials, etc.
In this geometric sequence worksheet, students find the next two terms of a geometric sequence. They identify the nth term and complete a sequence statement. Next, they find the geometric means of a given sequence. This one-page worksheet contains 15 problems.
Learners use Excel Database to explore sequences and series. They examine how to calculate term positions and Sigma Notations. Students use Excel to calculate the values and they print the pages for grading.
In this sequences and series worksheet, 11th graders solve and complete 10 different problems that include identifying various sequences and series. First, they find the first six terms of each sequence. Then, students determine the first three iterations of each function listed, using the given initial value.