Lesson 10: Sequences

New Concept

A sequence is an ordered list of numbers, called terms, that follows a certain rule.

What’s next

You will now analyze addition and multiplication sequences, identifying their rules and finding future terms in worked examples.

Property

A sequence is an ordered list of numbers, called terms, that follows a certain rule. An addition sequence adds the same number to each term. A multiplication sequence multiplies each term by the same number to get the next term.

Examples

An addition sequence with the rule 'add 6': $6, 12, 18, 24, 30, \dots$

A multiplication sequence with the rule 'multiply by 4': $1, 4, 16, 64, 256, \dots$

Property

Any whole number with a ones digit of $0, 2, 4, 6,$ or $8$ is an even number. Whole numbers that are not even numbers are odd numbers. An even number of objects can be divided into two equal groups, while an odd number cannot.

Examples

The number $4,578$ is even because its last digit is an $8$.

The number $99,153$ is odd because its last digit is a $3$.

Property

A scale is a display of numbers with an indicator to show the value of a certain measure. To read a scale, we need to discover the value of the tick marks on the scale.

Examples

A Celsius thermometer shows ticks for every $2$ degrees between $10^\circ\text{C}$ and $20^\circ\text{C}$.

A weight scale shows a tick mark for every $5$ kilograms between $50\operatorname{kg}$ and $100\operatorname{kg}$.