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
Finding the 32nd term of an arithmetic sequence
👉 Learn how to find 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 sequence is a sequence in which...
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
Learn how to find the 40th term of the arithmetic sequence
👉 Learn how to find 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 sequence is a sequence in which...
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
Pre-Calculus - Learn to find the sum of an arithmetic series
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brian McLogan
Math tutorial for writing the explicit formula of a sequence
👉 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
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
What is the sum of an arithmetic series using the sum formula
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
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
Learn how to find the explicit formula of an arithmetic sequence given two terms
👉 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
How to find the geometric mean between two numbers
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
Bethany Thiele, Art Teacher
Repousse (Metal Tooling) with Geometric and Organic Shapes
This video lesson will teach you how to create a repousse using 36 gauge copper and wooden sticks. The project includes a design extention onto black paper using colored pencils.
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...
Brian McLogan
Determining the sum of a geometric sum when there is no sum
👉 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
Learn how to evaluate the partial sum of a series
👉 Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n...
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...
Brian McLogan
How to determine the altitude by using the geometric mean
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
Brian McLogan
Learn how to find the geometric mean between two numbers
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
Brian McLogan
Learning how to evaluate the partial sum of a series
👉 Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n...