# Arithmetic sequence and geometric sequence

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## Intro to arithmetic sequences Geometric Series and Geometric Sequences - Basic Introduction

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra I Sequences Introduction to arithmetic sequences. Intro to arithmetic sequences. Extending arithmetic sequences.

In a Geometric Sequence each term is found by multiplying the previous term by a constant. Each term except the first term is found by multiplying the previous term by 2. We use "n-1" because ar 0 is for the 1st term. Each term is ar k , where k starts at 0 and goes up to n It is called Sigma Notation. It says "Sum up n where n goes from 1 to 4. The formula is easy to use

Intro Examples Arith. Series Geo. The two simplest sequences to work with are arithmetic and geometric sequences. An arithmetic sequence goes from one term to the next by always adding or subtracting the same value. For instance, 2, 5, 8, 11, 14,

For the patterns of dots below, draw the next pattern in the sequence. We now turn to the question of finding closed formulas for particular types of sequences. If the terms of a sequence differ by a constant, we say the sequence is arithmetic. How do we know this? Find recursive definitions and closed formulas for the sequences below. First we should check that these sequences really are arithmetic by taking differences of successive terms.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra I Sequences Introduction to geometric sequences. Intro to geometric sequences. Extending geometric sequences. Practice: Extend geometric sequences. Using explicit formulas of geometric sequences.

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r. Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:. Share on Facebook. Search Pre-Algebra All courses. All courses.

## What are the differences between arithmetic and geometric sequences? .

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## 1 thoughts on “Arithmetic sequence and geometric sequence”

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