CK-12 Foundation
Finding the nth Term Given the Common Ratio and the First Term: Dominoes
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
Curated OER
Finding the nth Term
Learners analyze patterns and try to figure out the next term in the sequence. In this algebra lesson, students discuss the functions rule and how it works to solve sequences. They practice solving problems and find the nth term or what...
Curated OER
Find the Sequence and the Nth Term
In this online interactive activity, 9th graders find the sequence and the next 2 term, the nth term and the 30th term for 12 numeric sequences. Immediate online feedback is provided.
Curated OER
Finding Sequence and "nth" Term
In this sequencing and "nth" term learning exercise, students solve 8 problems, writing next terms in sequences, giving expressions for "nth" terms and finding 20th terms. Answers and hints are available on-line; a reference web site for...
Curated OER
Find the sequence and the nth term
In this fractions worksheet, students look at the fraction pattern and given the expression for the nth term. Students complete 10 problems.
CK-12 Foundation
Explicit Formulas: Tiles for Writing nth Term in a Sequence
Build an explicit formula using tiles. Pupils develop a tile representation of a term within a sequence given figures of previous terms. Using the diagrams, learners develop the explicit formula by recognizing the common difference and...
Flipped Math
Explicit Formulas
Find a faster way to determine the 100th term of a sequence. Learners watch a video providing instruction on a way to find the nth term of a sequence—without writing down all the previous terms. Scholars create explicit formulas for...
Curated OER
Sequences and Linear Equations
Students identify the formula to find the nth term. For this algebra lesson, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
Curated OER
Linear Sequences and Terms
Students identify the nth rule for each sequence. In this algebra lesson, students finish the pattern or sequence and find the missing term. They relate patterns and sequences to the real world.
Curated OER
Take Home Question - Chapter 2
In this sequences learning exercise, students solve 4 short answer problems. Students use clues to find the first, second, fourth, fifth, and nth terms in a sequence given only the third term.
Curated OER
Topic 11.1 Arithmetic Sequences
In this arithmetic sequence worksheet, students identify the terms in a described sequence. They find the nth term in a sequence, complete a sequence statement and find the arithmetic means. This one-page worksheet contains 15 problems.
Curated OER
Arithmetic Sequences 1.6
In this arithmetic sequences worksheet, students solve 45 short answer, multiple choice, and graphing problems. Students find the nth term of an arithmetic sequence. Students solve systems of equations using elimination. Students find...
Curated OER
Sequences in Geogebra
Students follow detailed directions to use the GeoGebra program. In this mathematics lesson, students find the nth term of a sequence, and use line art to approximate a Bezier's curve. Students locate points and segments on a circle. The...
Curated OER
The Binomial Theorem
In this binomial expansions practice activity, students utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
Curated OER
Finding Patterns and Graphing Functions
Young scholars investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Young scholars graph their results and...
Curated OER
Patterns and Sequences
Sixth graders explore pattern recognition and sequencing. They create arithmetic and geometric sequences with colors, shapes, and numbers. Students write expressions of arithmetic sequences and geometric sequences to find the nth term.
Curated OER
Sequences
In this sequences worksheet, 6th graders solve and complete 3 different types of problems. First, they complete the missing numbers and determine the term-to-term rule. Then, students find the nth term of each sequence and draw the next...
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
Willow Tree
Arithmetic and Geometric Sequences
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...
Curated OER
Finite Geometric Series
In this geometric series learning exercise, students find the nth term in a sequence. They evaluate a given geometric sequence and determine the number of terms in a geometric series. This two-page learning exercise contains 26...
Curated OER
Geometric Series
In this geometric series worksheet, students find the nth term in a geometric series. Explanations and examples are given. This two-page worksheet contains approximately ten problems.
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...
Curated OER
Exploration Sequence of Bounces
New skills are developed as students use graphing calculators and ranger technology to capture and graph the sequence of bounces a ball makes when dropped. After recording the height of four or more bounces, they use the collected data...
Curated OER
Sequences and Series: Geometric Sequence
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...