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What is a recursive formula and what is it used for Geometric and Arithmetic?
Wiki User
∙ 10y ago
A recursive definition is any definition that uses the thing to be defined as part of the definition. A recursive formula, or function, is a related formula or function. A recursive function uses the function itself in the definition. For example:
The factorial function, written n!, is defined as the product of all the numbers, from 1 to the number (in this case "n"). For example, the factorial of 4, written 4!, is equal to 1 x 2 x 3 x 4. This can also be defined as follows:
0! = 1
For any "n" > 0, n! = n x (n-1)!
For example, according to this definition, the factorial of 4 is the same as 4 times the factorial of 3. Try it out - apply the recursive formula, until you get to the base case. Note that a base case is necessary; otherwise, the recursion would never end.
Wiki User
∙ 10y ago
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What are the arithmetic operations and corresponding keyboard signs used in formula?
* is times / is divide + is plus - is minus
What is used to support steps of a geometric proof?
Steps in a geometric proof do not require support
What geometric shape is used on a ramp?
triangle
What was the roman numeral system used for?
Arithmetic
What is a Recursive Formula in mathematics?
It is a formula, used in sequences, in which the value of the nth term is described in relation to one or more of the earlier terms. A classic example is the Fibonacci sequence: u(1) = 1 u(2) = 1 u(n) = u(n-1) + u(n-2) for n = 3, 4, 5, ...
What part of speech is arithmetic?
'Geometric' is an adjective, as it is used to describe something, e.g. a geometric shape. It is based on the noun 'geometry'.
Practical use of arithmetic progression?
Arithmetic progression and geometric progression are used in mathematical designs and patterns and also used in all engineering projects involving designs.
What is the mathematical definition of means?
They are averages of different kinds: arithmetic mean, geometric mean, harmonic mean are three commonly used means.
What are the arithmetic operations and corresponding keyboard signs used in formula?
* is times / is divide + is plus - is minus
What measure of central location is used to determine an average annual percent increase?
The geometric mean can be used to find average percent change over a period of time.
List three arithmetic operators that might be used in a formula?
A plus sign, a minus sign and a star, which is used for multiplication.
How do you find terms in arithmetic sequences?
The following formula generalizes this pattern and can be used to find ANY term in an arithmetic sequence. a'n = a'1+ (n-1)d.
When more than one arithmetic operator is involved in a formula excel changes the year to?
Excel does not change the year if the arithmetic operators have been used with the correct syntax.
What is a geometric term that begins with F?
Formula is a geometry term. Formulas are used to measure area and volume.
How kinds of mean in statistic?
There are numerous different types of mean, some a lot more used than others. thhe main ones are: * Arithmetic mean * Geometric mean * Harmonic mean
How do you get a recursive pattern?
A recursive pattern is a pattern that goes like this 2,4,6,8 and on. A pattern rule which is used to find the next term.
Difference between AP series GPs reis?
AP - Arithmetic ProgressionGP - Geometric ProgressionAP:An AP series is an arithmetic progression, a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, … is an arithmetic progression with common difference 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by:and in generalA finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.The behavior of the arithmetic progression depends on the common difference d. If the common difference is:Positive, the members (terms) will grow towards positive infinity.Negative, the members (terms) will grow towards negative infinity.The sum of the members of a finite arithmetic progression is called an arithmetic series.Expressing the arithmetic series in two different ways:Adding both sides of the two equations, all terms involving d cancel:Dividing both sides by 2 produces a common form of the equation:An alternate form results from re-inserting the substitution: :In 499 AD Aryabhata, a prominent mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, gave this method in the Aryabhatiya (section 2.18) .[1]So, for example, the sum of the terms of the arithmetic progression given by an = 3 + (n-1)(5) up to the 50th term isGP:A GP is a geometric progression, with a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1 / 2.Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Historically, geometric series played an important role in the early development of calculus, and they continue to be central in the study of convergence of series. Geometric series are used throughout mathematics, and they have important applications in physics, engineering, biology, economics, computer science, queuing theory, and finance.
