The Motel Keeper
Search results
Learn what a sequence is, how to write it, and how to find its rule. Explore different types of sequences, such as arithmetic, geometric, and special sequences, with examples and exercises.
Learn what a sequence and a series are, how to identify different types of sequences and series, and how to use formulas to calculate their terms and sums. See examples of arithmetic, geometric, harmonic and Fibonacci sequences and series.
In particular, sequences are the basis for series, which are important in differential equations and analysis. Sequences are also of interest in their own right, and can be studied as patterns or puzzles, such as in the study of prime numbers.
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.
Oct 6, 2021 · Sequences. A sequence 1 is a function whose domain is a set of consecutive natural numbers beginning with \(1\). For example, the following equation with domain \(\{1,2,3, \dots\}\) defines an infinite sequence 2: \(a(n)=5 n-3\) or \(a_{n}=5 n-3\) The elements in the range of this function are called terms of the sequence.
Learn how to find and describe the terms of linear, quadratic and practical sequences based on real-life situations. Revise the term to term and position to term rules, and the nth term formula for quadratic sequences.
Learn what sequences and arithmetic sequences are, and how to identify their patterns and rules. Practice with examples, problems and exercises on adding, subtracting and multiplying terms.
