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Instructional Video7:49
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is the Formula for the nth Term in a Geometric Sequence?\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nWhat 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...\n
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Instructional Video3:01
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Find the Nth Term in an Arithmetic Sequence?\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nTo 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...\n
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Instructional Video5:14
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\n\"Where\n\n
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\nCurated OER\n
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\nWhere Does the Formula for a Term in an Arithmetic Sequence Come From?\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nThere 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,...\n
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Interactive
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\n\"Explicit\n\n
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\nCK-12 Foundation\n
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\nExplicit Formulas: Tiles for Writing nth Term in a Sequence\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nBuild 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...\n
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Instructional Video3:21
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\n\"Quadratic\n\n
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\nQuadratic Sequences: nth Term\n

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\n\nFor Students\n\n9th - 12th\n
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\nSecond 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. \n
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Instructional Video2:56
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\nCorbett Maths\n
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\nThe nth Term for Fractional Sequences\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nThe 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...\n
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Lesson Plan
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\n\"Finding\n\n
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\nFinding the nth Term\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents 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...\n
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Instructional Video6:15
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\n\"How\n\n
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\nHow Do You Write a Rule for a Geometric Sequence?\n

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\n\nFor Teachers\n\n8th - 9th\n
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\nLearners 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...\n
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Interactive
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\n\"Finding\n\n
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\nFinding the nth Term Given the Common Ratio and the First Term: Dominoes\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nTopple 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...\n
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Interactive
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\n\"Find\n\n
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\nFind the Sequence and the Nth Term\n

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\n\nFor Students\n\n9th\n
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\nIn this online interactive worksheet, 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.\n
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Instructional Video6:04
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\nCorbett Maths\n
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\nThe nth Term for Linear Sequences\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nFor 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. \n
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Worksheet
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\n\"Take\n\n
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\nTake Home Question - Chapter 2\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn 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.\n
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Interactive
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\n\"Finding\n\n
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\nFinding Sequence and \"nth\" Term\n

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\nIn this sequencing and \"nth\" term activity, 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...\n
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Interactive
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\n\"Find\n\n
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\nFind the sequence and the nth term\n

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\n\nFor Students\n\n6th - 10th\n
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\nIn this fractions instructional activity, students look at the fraction pattern and given the expression for the nth term. Students complete 10 problems.\n
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Worksheet
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\n\"Worksheet\n\n
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\nWorksheet 9 - Identifying the nth Term\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn 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. ...\n
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\n\"Anno's\n\n
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\nCurated OER\n
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\nAnno's Magic Seeds\n

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\n\nFor Teachers\n\n4th - 6th\n
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\nRead 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...\n
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Lesson Plan
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\n\"Linear\n\n
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\nLinear Sequences and Terms\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nStudents 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.\n
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Worksheet
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\nCurated OER\n
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\nExtra Sequence Problems\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this sequence worksheet, students determine the nth term of given sequences. This one-page worksheet contains fifteen sequence problems.\n
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Instructional Video11:42
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\n\"Explicit\n\n
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\nExplicit Formulas\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nFind 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...\n
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Worksheet
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\nThe Binomial Theorem\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this binomial expansions practice worksheet, students utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.\n
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\n\"Sequences\n\n
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\nSequences and Linear Equations\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nYoung scholars 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.\n
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Worksheet
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\nTopic 11.1 Arithmetic Sequences\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn 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.\n
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Worksheet
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\n\"Modeling\n\n
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\nModeling in Algebra\n

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\nIn this modeling in algebra learning exercise, 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....\n
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\nSequence Investigation\n

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\n\nFor Teachers\n\n11th\n
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\nEleventh graders investigate arithmetic sequences.  In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. ...\n
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