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What is a sequence? Here are a few lists of numbers: 3, 5, 7 ... 21, 16, 11, 6 ... 1, 2, 4, 8 ... Ordered lists of numbers like these are called sequences. Each number in a sequence is called a term. Sequences usually have patterns that allow us to predict what the next term might be.
- Formulas of Arithmetic Sequences
Also notice that one can change arithmetic sequences to...
- Sequences
Sequences are a special type of function that are useful for...
- Formulas of Arithmetic Sequences
Sequences and series are one of the most prevalent topics in the AMC and AIME. 2 Basics of Sequences and Series. 2.1 De nitions.
Practice. Sequences are a special type of function that are useful for describing patterns. In this unit, we'll see how sequences let us jump forwards or backwards in patterns to solve problems. They even relate to some of the other types of functions we've already learned in interesting ways.
Sequences are a special type of function that are useful for describing patterns. In this unit, we'll see how sequences let us jump forwards or backwards in patterns to solve problems.
A sequence is a list of numbers, geometric shapes or other objects, that follow a specific pattern. The individual items in the sequence are called terms, and represented by variables like x n. A recursive formula for a sequence tells you the value of the nth term as a function of its previous terms the first term.
There are several types of sequences in math such as arithmetic sequences, quadratic sequences, geometric sequences, triangular sequences, square number sequences, cube number sequences, and triangular number sequences. Let us learn each of the sequences in detail in the upcoming sections.
A Sequence is like a Set, except: the terms are in order (with Sets the order does not matter) the same value can appear many times (only once in Sets) Example: {0, 1, 0, 1, 0, 1, ...} is the sequence of alternating 0s and 1s. The set is just {0,1}
