Holt McDougal Algebra 2
... and each term after that is the sum of the two terms before it. This can be expressed by using the rule a1 = 1, a2 = 1, and an = an – 2 + an – 1, where n ≥ 3. This is a recursive formula. A recursive formula is a rule in which one or more previous terms are used to generate the next term. ...
... and each term after that is the sum of the two terms before it. This can be expressed by using the rule a1 = 1, a2 = 1, and an = an – 2 + an – 1, where n ≥ 3. This is a recursive formula. A recursive formula is a rule in which one or more previous terms are used to generate the next term. ...
The sequences part
... and sometimes by listing of all its terms {sn }n∈N or {sn }+∞ n=1 . One way of specifying a sequence is to give a formula, or recursion formula for its n−th term sn . Notice that in this notation s is the “name” of the sequence and n is the variable. Some examples of sequences follow. Example 7.1.2. ...
... and sometimes by listing of all its terms {sn }n∈N or {sn }+∞ n=1 . One way of specifying a sequence is to give a formula, or recursion formula for its n−th term sn . Notice that in this notation s is the “name” of the sequence and n is the variable. Some examples of sequences follow. Example 7.1.2. ...
key - BetsyMcCall.net
... Instructions: Show all work. On proofs, clearly explain your reasoning. Unexplained leaps of logic, even if correct, will be treated as if it is false. On take home quizzes, all work must be your own; you may not work together. 1. List the first four terms of each sequence. Write a rule for the gene ...
... Instructions: Show all work. On proofs, clearly explain your reasoning. Unexplained leaps of logic, even if correct, will be treated as if it is false. On take home quizzes, all work must be your own; you may not work together. 1. List the first four terms of each sequence. Write a rule for the gene ...
Sequences and Series
... 4. Fibonacci posed the following problem: Suppose that rabbits live forever and that every month each pair produces a new pair which becomes productive at age 2 months. If we start with one newborn pair, how many pairs of rabbits will we have in the nth month? In fact, a little thought reveals that ...
... 4. Fibonacci posed the following problem: Suppose that rabbits live forever and that every month each pair produces a new pair which becomes productive at age 2 months. If we start with one newborn pair, how many pairs of rabbits will we have in the nth month? In fact, a little thought reveals that ...
Leap Frog Solutions 2015
... of 1, 2, 4, 29, and 58. The sequence proceeding from 6 with common di↵erence 1 hits the perfect square number 16 (among others), as does the sequence with common di↵erence of 2. The sequence proceeding from 6 with common di↵erence either 29 or 58 hits the perfect square 64. The only remaining possib ...
... of 1, 2, 4, 29, and 58. The sequence proceeding from 6 with common di↵erence 1 hits the perfect square number 16 (among others), as does the sequence with common di↵erence of 2. The sequence proceeding from 6 with common di↵erence either 29 or 58 hits the perfect square 64. The only remaining possib ...
Sequence
In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is a countable totally ordered set, such as the natural numbers.For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6,...). In computing and computer science, finite sequences are sometimes called strings, words or lists, the different names commonly corresponding to different ways to represent them into computer memory; infinite sequences are also called streams. The empty sequence ( ) is included in most notions of sequence, but may be excluded depending on the context.