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Understanding and Finding Rules for Sequences with Arithmetic and Quadratic Progressions
This video provides an explanation of sequences and how to identify their patterns in order to generate a rule or find the nth term. It covers arithmetic progression, quadratic sequences, and special sequences such as triangular, square,...
msvgo
Identification of Number Patterns
This nugget teaches students to identify the number patterns in a given sequence and extend the pattern in the sequence.
Professor Dave Explains
Convergence and Divergence: The Return of Sequences and Series
An introduction to sequences and series, as well as convergence and divergence.
FuseSchool
Introduction To Sequences
In this video we’re going to discover some key sequences terminology and how to recognise and generate some important sequences. We will come across all of these key sequences... Arithmetic, Linear, Triangular, Square, Cube, Fibonacci,...
Professor Dave Explains
Sequences, Factorials, and Summation Notation
An introduction to sequences, factorials, and summation notation.
Curated Video
Identifying Numerical Patterns and Graphing Ordered Pairs
In this lesson, students will learn how to identify numerical patterns by forming and graphing ordered pairs. They will explore different sequences and their corresponding rules, and then use these rules to generate ordered pairs. By...
Curated Video
Understanding Sequences: Functions in Tables and Graphs
In this video, the teacher explains how sequences are alike and different. They discuss arithmetic sequences, where there is a common difference between terms, and geometric sequences, where there is a common ratio between terms.
Curated Video
Writing Explicit Formulas for Sequences
In this video, the teacher explains how to find specific terms in a sequence without listing out all the terms. They introduce the concept of an explicit formula using function notation, which allows for a quicker and more efficient way...
Curated OER
SpongeBob's House is Not a Pineapple
Who would have thought we could use SpongeBob as a mathematical example? A fantastically fun video that provokes higher thinking about the reality that SpongeBob's house might not actually be a pineapple based on its relation to the...
Khan Academy
Introduction to Geometric Sequences, Sequences, Series and Induction, Precalculus
This video introduces geometric sequences as "a special sequence of numbers where each successive number is a fixed multiple of the number before it." Sal works slowly in the beginning but picks up the pace as he solves word problems...
Khan Academy
SAT Prep: Test 5 Section 3 Part 1
Sal starts a new set of practice SAT problems in this video, starting on page 652 of The Official SAT Study Guide. Problems involve fractions and ratios, simplifying equations, and finding the perimeter of given coordinates on a plane.
Khan Academy
SAT Prep: Test 6 Section 3 Part 3
Continuing problem 7 from the previous video, Sal takes students through what he describes as "a common SAT problem" involving geometric lines and figures. Additional problems deal with sequences, cross-multiplication, and measuring...
Khan Academy
SAT Prep: Test 7 Section 5 Part 1
The beginning of a new set of SAT practice problems from The Official SAT Study Guide involves sequences, distribution, combinations, and geometric figures. Sal makes sure to provide thorough explanations to each problem, while...
Khan Academy
SAT Prep: Test 6 Section 7 Part 5
On the home stretch of this practice session, Sal completes problems 18 and 19 on page 738 of The Official SAT Study Guide. He begins problem 20, but chooses to finish it in the next video instead of rushing the answer. As always, Sal's...
Khan Academy
SAT Prep: Test 3 Section 2 Part 1
Starting a new set of SAT practice problems from The Official SAT Study Guide (page 518), Sal takes students through some straightforward questions involving basic algebra and functions. However, as every math teacher and student knows,...
Khan Academy
SAT Prep: Test 1 Section 3 Part 5
Sal's lecture starts where his last one ended - on problem 13 from The Official SAT Study Guide. Starting the problem over to ease understanding, he explains how to find the pattern in a complicated sequence. The following problem...
Curated OER
SAT Prep: Test 4 Section 8 Part 4
Working exclusively on problem 16 (the final problem of this practice session), Sal explains how to solve problems on consecutive integers and sequences. Students who are struggling with this skill would especially benefit from this...
Khan Academy
SAT Prep: Test 4 Section 2 Part 3
Continuing his theme of solving problems in a timely and correct manner, Sal teaches students that most problems on the SAT are designed to be solved in less than 30 seconds (though he does state that they are given over a minute for...
Flipped Math
Sequences
To say it explicitly—put the terms in order. Pupils learn about the two main sequences, arithmetic and geometric and discover the general explicit formulas for both types. Using the formulas, learners then calculate specific terms of the...
Flipped Math
Recursive Formulas
Write formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...
Flipped Math
Sequences
Develop a sequence of descriptions. Learners watch an introduction to sequences, their notations, and how to graph them. Pupils use full sentences to describe the sequence and how to get from one term to the next, without needing to...
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...
Corbett Maths
The nth Term for Fractional Sequences
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...
Corbett Maths
Patterns and Sequences
What comes next? Scholars view a video that explains how to determine the next figure in a pattern. They connect the figures to arithmetic sequences and write explicit formulas for the patterns.