Pre-Calculus Sequence/series Part 2

Pre-Calculus Sequence Part 2

Multiple Choice

Warm Up question: Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes

• No

Multiple Choice

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Sequences

Arithmetic and geometric sequences were covered in the last lesson. Here is a quick recap...

A Sequence is a set of things (usually numbers) that are in order.
In an Arithmetic Sequence the difference between one term and the next is a constant. In other words, we just add the same value each time, infinitely. We can write an Arithmetic Sequence as a rule, see formula chart.

In a Geometric Sequence each term is found by multiplying the previous term by a constant. Geometric Sequences are sometimes called Geometric Progressions (G.P.’s). We can write a Geometric Sequence as a rule, see formula chart.

A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence. Before we discuss series in more detail, let's discuss sigma notation on the next slide.

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What is a SERIES?

Σ
This symbol (called sigma) means to sum up.

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​Sigma Notation

https://quizizz.com/join?gc=86725972

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Watch video then, Test your knowledge:

https://www.mathsisfun.com/algebra/infinite-series.html

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First, read an introduction about Series. This is discuss different types of series. The next slide will be a long video discussing series, take notes.

​Great Job!

Hope you have a great weekend and get some rest. See you next week =)