This sequence occurs in nature everywhere, from seashells to galaxies. Numbers Numbers from 0 to 3 Numbers from 4 to 6 Numbers from 7 to 10 Numbers from 1 to 10 Patterns and Sequences. Give an example of a Recurrence Relations f. Define Increasing and decreasing sequences/ Monotonic sequences c. Add up the last 2 numbers to find the next number (e.g. Math 162 Worksheet Math 162 Chapter 11/Sections 1-8 Topic: Series and Sequences Worksheet 1. It also has two optional units on series and limits and continuity. The Fibonacci sequence is without a doubt the most famous number sequence in the world. The Precalculus course covers complex numbers composite functions trigonometric functions vectors matrices conic sections and probability and combinatorics. In this unit, well see how sequences let us jump forwards or backwards in. Therefore, a convergent geometric series 24 is an infinite geometric series where \(|r| < 1\) its sum can be calculated using the formula:īegin by identifying the repeating digits to the right of the decimal and rewrite it as a geometric progression. The answer to this number sequence is 8 and it is known as the Fibonacci sequence. Sequences are a special type of function that are useful for describing patterns.
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