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Brian McLogan
Evaluate for the nth term of a sequence given the ratio and first term in a geometric
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
Write the first five terms of the geometric sequence
👉 Learn how to find the first 5 terms of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in...
Brian McLogan
Write a geometric sequence in summation notation
👉 Learn how to write the sum from a geometric series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given...
Brian McLogan
How to write the sum in sigma notation given a geometric sequence
👉 Learn how to write the sum from a geometric series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given...
Brian McLogan
How to use alternating signs to find the rule for a sequence
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Determine the sum of a finite geometric sequence
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
Given two terms find the nth term of a geometric sequence
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
How to use the rule of a sequence to evaluate for any term in the sequence
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Finding the rule for our sequence using multiplication and subtraction
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic...
Brian McLogan
Evaluate the geometric sequence given two values
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
What are the formulas for arithmetic and geometric sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
Find the rule of for a sum of a series
👉 Learn how to write the rule of a series in sigma notation. A series is the sum of the terms of a sequence. When given a series that is neither arithmetic nor geometric, we can write the rule for the series by first identifying the...
Brian McLogan
How to find the first four terms of a recursive formula
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike...
Brian McLogan
Learn to find the first four terms of a sequence with alternating signs
👉 Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Brian McLogan
Given summation notation, learn how to find the sum of a finite series
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
Finding the first four terms of a sequence with a rational rule
👉 Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Brian McLogan
Finding the first four terms of a sequence given a factorial
👉 Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Curated Video
Creating Recursive Formulas Using Function Notation
In this video lesson, students will learn how to use function notation to create recursive formulas for sequences. The video explains the concepts of arithmetic and geometric sequences, as well as the Fibonacci sequence, and demonstrates...
Curated Video
Geometric Sequences: Identifying, Extending, Graphing, and Writing as Functions
During this video lesson students will make connections between geometric sequences and exponential equations. Students will understand that a geometric sequence has a common ratio, how to find the common ratio and use it to extend a...
Curated Video
Creating Equations for Decreasing Geometric Sequences
In this lesson, students will learn how to create an equation for a decreasing geometric sequence by making a table and drawing a graph. They will understand the concept of exponential functions and how they grow or shrink at a...
Brian McLogan
Finding the first four terms of a rational rule with alternating signs
👉 Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Brian McLogan
Learn how to determine the nth term of a geometric sequence
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
Given a sequence formula find the first four terms with alternating signs
👉 Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Brian McLogan
How to determine the rule for a geometric sequence given two values
👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in...