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Instructional Video7:49
Curated OER

What is the Formula for the nth Term in a Geometric Sequence?

For Teachers 10th - 12th
What is the difference between an arithematic sequence and a geometric sequence? In an arithematic sequence the constant ratio is added, and in a geometric sequence the constant ratio is multiplied. Watch this video and learn how to use...
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Instructional Video3:01
Curated OER

How Do You Find the Nth Term in an Arithmetic Sequence?

For Teachers 10th - 11th
To find the 20th term in an arithmetic sequence, use the secret formula. What secret formula? It's: a sub n equals a sub one plus parentheses n minus one close parentheses times d. Got that? No? The watch this video to learn about the...
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Instructional Video5:14
Curated OER

Where Does the Formula for a Term in an Arithmetic Sequence Come From?

For Teachers 10th - 12th
There is a formula to find the nth term in an arithematic sequence. But first, the instructor in the video will go through several steps and lots of explanations about how to get that formula. Watch and listen carefully. And then maybe,...
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Interactive
CK-12 Foundation

Explicit Formulas: Tiles for Writing nth Term in a Sequence

For Students 11th - Higher Ed Standards
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...
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Instructional Video3:21
FuseSchool

Quadratic Sequences: nth Term

For Students 9th - 12th
Second time's the charm. Scholars determine the first and second differences of terms in a sequence to identify it as quadratic. They then determine explicit formulas for each quadratic sequence.
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Instructional Video2:56
Corbett Maths

The nth Term for Fractional Sequences

For Students 9th - 12th Standards
The process for sequences doesn't change just because the terms are fractions. Given a sequence composed of fractional terms, pupils see how to write an explicit algebraic formula to represent the sequence. The video then shows them how...
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Lesson Plan
Curated OER

Finding the nth Term

For Teachers 10th - 11th
Students 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...
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Instructional Video6:15
Curated OER

How Do You Write a Rule for a Geometric Sequence?

For Teachers 8th - 9th
Learners can review how to write a rule for the geometric sequence 2, 4, 8, 16. The tutor explains through direct instruction how they can use the rule to find the 6th, 9th, and 15th terms. This clip is best suited for individuals who...
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Interactive
CK-12 Foundation

Finding the nth Term Given the Common Ratio and the First Term: Dominoes

For Students 11th - Higher Ed Standards
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...
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Interactive
Curated OER

Find the Sequence and the Nth Term

For Students 9th
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.
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Instructional Video6:04
Corbett Maths

The nth Term for Linear Sequences

For Students 6th - 12th Standards
For the nth time, I'm telling you to find the sequence. Given an arithmetic sequence, the video shows how to find the nth term of the sequence. Pupils also learn how to write an explicit expression for the sequence.
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Worksheet
Curated OER

Take Home Question - Chapter 2

For Students 9th - 12th
In this sequences worksheet, 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.
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Interactive
Curated OER

Finding Sequence and "nth" Term

For Students 5th - 6th
In this sequencing and "nth" term worksheet, 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...
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Interactive
Curated OER

Find the sequence and the nth term

For Students 6th - 10th
For this fractions worksheet, learners look at the fraction pattern and given the expression for the nth term. Students complete 10 problems.
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Worksheet
Curated OER

Worksheet 9 - Identifying the nth Term

For Students Higher Ed
In this sequencing worksheet, students identify the nth term in a sequence, determine the number of distinct rectangles found within vertical lines and identify distinct and non-distance parts of polygons made with overlapping lines. ...
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Lesson Plan
Curated OER

Anno's Magic Seeds

For Teachers 4th - 6th
Read a tale for your class as they unravel patterns presented in the story using manipulatives. Pause to allow time for discussion and explanation of solutions throughout the story. They write equations or expressions with order of...
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Lesson Plan
Curated OER

Linear Sequences and Terms

For Teachers 8th - 10th
Students identify the nth rule for each sequence. For this algebra lesson, students finish the pattern or sequence and find the missing term. They relate patterns and sequences to the real world.
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Worksheet
Curated OER

Extra Sequence Problems

For Students Higher Ed
For this sequence worksheet, students determine the nth term of given sequences. This one-page worksheet contains fifteen sequence problems.
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Instructional Video11:42
2
2
Flipped Math

Explicit Formulas

For Students 9th - 10th Standards
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...
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Worksheet
Curated OER

The Binomial Theorem

For Students 9th - 12th
For this binomial expansions practice worksheet, high schoolers utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
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Lesson Plan
Curated OER

Sequences and Linear Equations

For Teachers 8th - 10th
Students identify the formula to find the nth term. In this algebra lesson, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
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Worksheet
Curated OER

Topic 11.1 Arithmetic Sequences

For Students 9th - 11th
In this arithmetic sequence learning exercise, 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 learning exercise...
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Worksheet
Curated OER

Modeling in Algebra

For Students 8th
In this modeling in algebra activity, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each. Students...
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Lesson Plan
Curated OER

Sequence Investigation

For Teachers 11th
Eleventh graders investigate arithmetic sequences.  In this Algebra II activity, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. ...

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Nth Term Test