Math Antics - Calculating Percent Change

Multiplication-based sequences grow much faster because each step multiplies the previous term, while addition-based sequences increase by a fixed amount.

The video discusses number patterns and sequences, including how they can be repeating or non-repeating, finite or infinite, and based on arithmetic rules.

The word 'pattern' often describes repeating images or objects, and in the context of the video, it refers to repeating sequences of numbers.

A sequence in math is a set of numbers or elements where the order matters.

A set refers to a group of numbers or elements where the order doesn't matter, and duplicates are left out.

Sequences can be finite or infinite, repeating or non-repeating.

Infinite sequences use three dots at the end of the list to show that they keep going forever.

An arithmetic sequence is based on addition or subtraction rules, where the sequence changes by a constant amount each step.

A geometric sequence is based on multiplication or division rules, where the sequence changes by an increasing or decreasing amount each step.

You can determine if a sequence is increasing or decreasing, look for a common difference by subtracting pairs of adjacent numbers, or find a common ratio by dividing pairs of adjacent numbers.

The difference is called the 'common difference'.

The ratio is called the 'common ratio'.

In an arithmetic sequence, each step changes by a constant amount, similar to going up or down a normal flight of stairs.

In a geometric sequence, each step changes by an increasing or decreasing amount, causing the sequence to grow or shrink exponentially.

Skip counting involves counting by a specific interval, like counting odd or even numbers, producing non-repeating sequences.

Examples of repeating sequences given are {0, 1, 0, 1, 0, 1}.

You get the sequence of odd numbers: {1, 3, 5, 7, 9,...}.

You get the sequence of even numbers: {2, 4, 6, 8, 10,...}.

The sequence is {1, 2, 4, 8, 16,...}, showing an exponential increase.

Multiplication-based sequences grow much faster because each step multiplies the previous term, while addition-based sequences increase by a fixed amount.

The video discusses number patterns and sequences, including how they can be repeating or non-repeating, finite or infinite, and based on arithmetic rules.