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There are many situations the rate of change in the quantity of something (over a fixed period of time) is proportional to the amount at the start of the period. Some typical examples are:
- · radioactive decay (physics)
- · depreciation (economics/accounting)
- · [uncontrolled] population growth (Biology, especially microbiology).
- · compound interest (banking)
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Why is geometric progression preferred over arithmetic progression?
The question cannot be answered because it assumes something which is simply not true. There are some situations in which arithmetic progression is more appropriate and others in which geometric progression is more appropriate. Neither of them is "preferred".
What is the common ratio of the geometric progression?
The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.
Application of geometric progression in business?
Immediately springing to mind, geometric progression is used in accountancy in finding the Net Present Value of projects (specifically, the value of money each year based on the discount factor). It is also used in annuities, working out monthly repayments of loans and values of investments - compound interest is a geometric progression.
Insert 3 geometric means between 1 and 256?
Geometric progression 1, 4, 16, 64, 256 would seem to fit...
How do you find the ratio in the geometric progression?
Divide any term, except the first, by the term before it.
What is the mathematical concept of arithmetic progression?
i need mathematical approach to arithmetic progression and geometric progression.
Who invented geometric progression?
Gauss
What are the applications of arithmetic progression and geometric progression in business applications?
=Mathematical Designs and patterns can be made using notions of Arithmetic progression and geometric progression. AP techniques can be applied in engineering which helps this field to a large extent....=
Why use log values?
In order to tie a geometric progression to a linear progression. For example, it is easier to calculate 12 log 1.024 than 1.024^12. Exponentials can be simplified.
Why is geometric progression preferred over arithmetic progression?
The question cannot be answered because it assumes something which is simply not true. There are some situations in which arithmetic progression is more appropriate and others in which geometric progression is more appropriate. Neither of them is "preferred".
What is the common ratio of the geometric progression?
The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.
Application of geometric progression in business?
Immediately springing to mind, geometric progression is used in accountancy in finding the Net Present Value of projects (specifically, the value of money each year based on the discount factor). It is also used in annuities, working out monthly repayments of loans and values of investments - compound interest is a geometric progression.
What type of list is 125 -50 20 -8?
It is a geometric progression.
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 are some math words that begin with the letter G?
· geometric progression · geometry
What is the formula for sequence sum?
There are different answers depending upon whether the sequence is an arithmetic progression, a geometric progression, or some other sequence. For example, the sequence 4/1 - 4/3 + 4/5 - 4/7 adds to pi
How can you tell if a infinite geometric series has a sum or not?
The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.
