Activity 5 - InterMath
... 2. Generate a Fibonacci-like sequence by using the same recursion formula but with initial values 1 and 3. Do the same thing with initial values 1 and 5 . Sometimes a recursion formula may also involve the counting variable n in a more direct way. For example suppose we start with initial value x1=1 ...
... 2. Generate a Fibonacci-like sequence by using the same recursion formula but with initial values 1 and 3. Do the same thing with initial values 1 and 5 . Sometimes a recursion formula may also involve the counting variable n in a more direct way. For example suppose we start with initial value x1=1 ...
PDF
... This does not necessarily mean that one had limi→∞ (ai+1 − ai ) = ∞, since there may always exist little differences ai+1 −ai arbitrarily far from the begin of the sequence (1). The equation (2) is equivalent to the Pillai’s conjecture. For any fixed positive integer k, the Diophantine equation xm − ...
... This does not necessarily mean that one had limi→∞ (ai+1 − ai ) = ∞, since there may always exist little differences ai+1 −ai arbitrarily far from the begin of the sequence (1). The equation (2) is equivalent to the Pillai’s conjecture. For any fixed positive integer k, the Diophantine equation xm − ...
has the limit L
... Section 8.1: Sequences Definition: A sequence is an ordered set of real numbers that has a one-to-one correspondence with the positive integers. ...
... Section 8.1: Sequences Definition: A sequence is an ordered set of real numbers that has a one-to-one correspondence with the positive integers. ...
Q1. (a) The nth term of a sequence is 4n + 1 (i) Write down the first
... The nth term of a sequence is given by the expression n2– 3 Write down the first three terms of the sequence. ...
... The nth term of a sequence is given by the expression n2– 3 Write down the first three terms of the sequence. ...
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.